$\frac{1}{5}\cdot \left\langle 3, 4\right\rangle$

Berechnen Sie $\frac{1}{5}\cdot \left\langle 3, 4\right\rangle$.

Multipliziert jede Koordinate des Vektors mit dem Skalar:

${\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left\langle 3, 4\right\rangle = \left\langle {\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left(3\right), {\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left(4\right)\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle$

$\frac{1}{5}\cdot \left\langle 3, 4\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle = \left\langle 0.6, 0.8\right\rangle$A