$$$\frac{3}{5}\cdot \left\langle 0, 3, 4\right\rangle$$$
Your Input
Calculate $$$\frac{3}{5}\cdot \left\langle 0, 3, 4\right\rangle$$$.
Solution
Multiply each coordinate of the vector by the scalar:
$$${\color{GoldenRod}\left(\frac{3}{5}\right)}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle {\color{GoldenRod}\left(\frac{3}{5}\right)}\cdot \left(0\right), {\color{GoldenRod}\left(\frac{3}{5}\right)}\cdot \left(3\right), {\color{GoldenRod}\left(\frac{3}{5}\right)}\cdot \left(4\right)\right\rangle = \left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle$$$
Answer
$$$\frac{3}{5}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle = \left\langle 0, 1.8, 2.4\right\rangle$$$A