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

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

Multipliziere jede Komponente des Vektors mit dem Skalar:

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

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