% %以下の文をコメント文としたいのですが，現時点ではまだできません。
% 問題のタイトル
[Title]
ベクトルの内積cos利用のみ

% 問題文
% 何も書かなければ，[Level1]等に書いたものがそのまま問題文となる。
[Problem]
次の2つのベクトルの内積を求めよ。

% フォントの大きさ。1〜10，またはTeXのコマンドを指定する。
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[FontSize]
5

% プリアンブルに追加したいパッケージファイルを指定する。
[usepackage]
\usepackage{amssymb}

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% それぞれの問題や解答に$\displaystyle $を付けない場合は，OFFまたは0
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[displaystyle]
OFF


% Level1の問題を書く。以下Level7まで同様。
% 1行目には詳細設定のタイトルを書く。
% 2行目以降に問題とその解答を書く。
% 問題と解答，解答と問題は１行ずつあけて書く。
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% 最初にprocessという行を作り，その次の行から計算過程を書いていく。
[Level1]
大きさ整数で約分無し(30,45,60度)

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{49\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{49\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{1}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{49}{2}$






[Level2]
大きさ整数で約分あり(30,45,60度)



$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$18\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$32\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$18\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$32\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$10$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$14$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$15$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$21$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$20$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$15$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$21$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$28$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$16$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$32$







[Level3]
大きさ片方ルート(30,45,60度)



$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$4\sqrt{6}$




$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{6}$








[Level4]
大きさ整数で約分無し(90〜180度)




$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{1}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{49}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{49\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{49\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-25$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-25$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-49$









[Level5]
大きさ整数で約分あり(90〜180度)





$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-18\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-32\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-18\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-32\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-30$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-42$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-40$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-56$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-30$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-42$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-40$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-56$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-36$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-48$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-48$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-64$







[Level6]
大きさ片方ルート(90〜180度)


$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{6}$





$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{6}$







[Level7]
大きさ両方ルート(0〜180度)





$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$







[Level8]
上記7種類ランダム

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{49\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{49\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{1}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{49}{2}$





$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$18\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$32\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$18\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$32\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$10$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$14$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$15$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$21$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$20$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$15$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$21$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$28$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$16$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$32$





$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =45^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =45^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =45^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =30^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =30^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =30^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =30^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =45^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =45^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =45^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =45^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =60^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =60^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =60^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =60^\circ $

$4\sqrt{6}$





$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{1}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{5}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{25}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{7}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{35}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{49}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{25\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{35\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{49\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{25\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{35\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{49\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-25$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-25$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-35$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-49$





$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-15$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-21$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-10\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-14\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-15\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-21\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-20\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-28\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-18\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-16\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-24\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-32\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-10\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-14\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-15\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-21\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-20\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-28\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-12\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-18\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-16\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-24\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-32\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-30$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-42$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-40$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-56$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-10$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-14$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-20$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-28$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-18$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-30$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-42$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-40$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-56$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-24$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-36$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-48$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-16$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-32$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-48$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-64$





$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =120^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =120^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =120^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =120^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =135^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =135^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =135^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =135^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =135^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =135^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =135^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =150^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =150^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =150^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =150^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=1\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=3\,\,,\,\,\theta =180^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=5\,\,,\,\,\theta =180^\circ $

$-5\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=7\,\,,\,\,\theta =180^\circ $

$-7\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=2\,\,,\,\,\theta =180^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=4\,\,,\,\,\theta =180^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=6\,\,,\,\,\theta =180^\circ $

$-6\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=8\,\,,\,\,\theta =180^\circ $

$-8\sqrt{6}$





$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =0^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =0^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =0^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{2}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{3}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=\sqrt{6}\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$


$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =30^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$4$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =45^\circ $

$8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =60^\circ $

$4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$3$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$9$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =30^\circ $

$12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =45^\circ $

$4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =60^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =30^\circ $

$12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =45^\circ $

$8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =60^\circ $

$4\sqrt{6}$


$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{3}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =120^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-1$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-5$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-7$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-2$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-4$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =135^\circ $

$-8$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =135^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =135^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{5\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\nfrac{7\sqrt{6}}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{9}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{15}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-\nfrac{21}{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{3\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{9\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{15\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-\nfrac{21\sqrt{2}}{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =150^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-3$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-6$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-9$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =150^\circ $

$-12$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-9\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =150^\circ $

$-12\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =90^\circ $

$0$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=1\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=3\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-3\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=5\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-5\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=7\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-7\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{2}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{2}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{3}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{3}$

$|\overrightarrow{\mathstrut a}|=2\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-2\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=4\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-4\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=6\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-6\sqrt{6}$

$|\overrightarrow{\mathstrut a}|=8\,\,,\,\,|\overrightarrow{\mathstrut b}|=\sqrt{6}\,\,,\,\,\theta =180^\circ $

$-8\sqrt{6}$



[EOF]

