$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$
该计算器将把向量 $$$\left\langle 2, -2, 0\right\rangle$$$ 与标量 $$$\frac{\sqrt{2}}{4}$$$ 相乘，并显示步骤。
您的输入
计算 $$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$。
解答
将向量的每个坐标乘以该标量：
$$${\color{Violet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle {\color{Violet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(2\right), {\color{Violet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(-2\right), {\color{Violet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(0\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle$$$
答案
$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle\approx \left\langle 0.707106781186548, -0.707106781186548, 0\right\rangle$$$A