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

Calculer $$$\frac{\sqrt{2}}{2}\cdot \left\langle 1, 1\right\rangle$$$.

Multipliez chaque coordonnée du vecteur par le scalaire :

$$${\color{DeepPink}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left\langle 1, 1\right\rangle = \left\langle {\color{DeepPink}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(1\right), {\color{DeepPink}\left(\frac{\sqrt{2}}{2}\right)}\cdot \left(1\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle$$$

$$$\frac{\sqrt{2}}{2}\cdot \left\langle 1, 1\right\rangle = \left\langle \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right\rangle\approx \left\langle 0.707106781186548, 0.707106781186548\right\rangle$$$A