$$$\frac{\sqrt{10}}{2}\cdot \left\langle \frac{3}{5}, - \frac{1}{5}\right\rangle$$$

Calculate $$$\frac{\sqrt{10}}{2}\cdot \left\langle \frac{3}{5}, - \frac{1}{5}\right\rangle$$$.

Multiply each coordinate of the vector by the scalar:

$$${\color{Brown}\left(\frac{\sqrt{10}}{2}\right)}\cdot \left\langle \frac{3}{5}, - \frac{1}{5}\right\rangle = \left\langle {\color{Brown}\left(\frac{\sqrt{10}}{2}\right)}\cdot \left(\frac{3}{5}\right), {\color{Brown}\left(\frac{\sqrt{10}}{2}\right)}\cdot \left(- \frac{1}{5}\right)\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10}\right\rangle$$$

$$$\frac{\sqrt{10}}{2}\cdot \left\langle \frac{3}{5}, - \frac{1}{5}\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10}\right\rangle\approx \left\langle 0.948683298050514, -0.316227766016838\right\rangle$$$A