$$$\frac{\sqrt{2}}{2}\cdot \left\langle 1, 1\right\rangle$$$
该计算器将把向量 $$$\left\langle 1, 1\right\rangle$$$ 与标量 $$$\frac{\sqrt{2}}{2}$$$ 相乘，并显示步骤。
您的输入
计算 $$$\frac{\sqrt{2}}{2}\cdot \left\langle 1, 1\right\rangle$$$。
解答
将向量的每个坐标乘以该标量：
$$${\color{Green}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left\langle 1, 1\right\rangle = \left\langle {\color{Green}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(1\right), {\color{Green}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(1\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle$$$
答案
$$$\frac{\sqrt{2}}{2}\cdot \left\langle 1, 1\right\rangle = \left\langle \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle\approx \left\langle 0.707106781186548, 0.707106781186548\right\rangle$$$A