$\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle$

Розрахувати $\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle$.

Кожну координату вектора помножити на скаляр:

${\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(3\right), {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(1\right), {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(2\right)\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle$

$\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle\approx \left\langle 0.857142857142857, 0.285714285714286, 0.571428571428571\right\rangle$A