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$$$\frac{\sqrt{2}}{2}\cdot \left\langle -1, 1\right\rangle$$$
入力内容
$$$\frac{\sqrt{2}}{2}\cdot \left\langle -1, 1\right\rangle$$$を計算せよ。
解答
ベクトルの各成分にスカラーを乗じる:
$$${\color{Red}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left\langle -1, 1\right\rangle = \left\langle {\color{Red}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(-1\right), {\color{Red}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(1\right)\right\rangle = \left\langle - \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle$$$
解答
$$$\frac{\sqrt{2}}{2}\cdot \left\langle -1, 1\right\rangle = \left\langle - \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle\approx \left\langle -0.707106781186548, 0.707106781186548\right\rangle$$$A
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