$$$\frac{\sqrt{10}}{10}\cdot \left\langle 1, 3\right\rangle$$$

计算 $$$\frac{\sqrt{10}}{10}\cdot \left\langle 1, 3\right\rangle$$$。

将向量的每个坐标乘以该标量：

$$${\color{Purple}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left\langle 1, 3\right\rangle = \left\langle {\color{Purple}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(1\right), {\color{Purple}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(3\right)\right\rangle = \left\langle \frac{\sqrt{10}}{10}, \frac{3 \sqrt{10}}{10}\right\rangle$$$

$$$\frac{\sqrt{10}}{10}\cdot \left\langle 1, 3\right\rangle = \left\langle \frac{\sqrt{10}}{10}, \frac{3 \sqrt{10}}{10}\right\rangle\approx \left\langle 0.316227766016838, 0.948683298050514\right\rangle$$$A