-5/22 * ⟨1, 2, -1, 0, 4⟩

该计算器将把向量 $$$\left\langle 1, 2, -1, 0, 4\right\rangle$$$ 与标量 $$$- \frac{5}{22}$$$ 相乘，并显示步骤。

您的输入

计算 $$$\left(- \frac{5}{22}\right)\cdot \left\langle 1, 2, -1, 0, 4\right\rangle$$$。

解答

将向量的每个坐标乘以该标量：

$$${\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left\langle 1, 2, -1, 0, 4\right\rangle = \left\langle {\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left(1\right), {\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left(2\right), {\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left(-1\right), {\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left(0\right), {\color{OrangeRed}\left(- \frac{5}{22}\right)}\cdot \left(4\right)\right\rangle = \left\langle - \frac{5}{22}, - \frac{5}{11}, \frac{5}{22}, 0, - \frac{10}{11}\right\rangle$$$

答案

$$$\left(- \frac{5}{22}\right)\cdot \left\langle 1, 2, -1, 0, 4\right\rangle = \left\langle - \frac{5}{22}, - \frac{5}{11}, \frac{5}{22}, 0, - \frac{10}{11}\right\rangle\approx \left\langle -0.227272727272727, -0.454545454545455, 0.227272727272727, 0, -0.909090909090909\right\rangle$$$A