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$$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle$$$
Votre saisie
Calculer $$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle$$$.
Solution
Multipliez chaque coordonnée du vecteur par le scalaire :
$$${\color{GoldenRod}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left\langle 3, 1\right\rangle = \left\langle {\color{GoldenRod}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(3\right), {\color{GoldenRod}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(1\right)\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, \frac{\sqrt{10}}{10}\right\rangle$$$
Réponse
$$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, \frac{\sqrt{10}}{10}\right\rangle\approx \left\langle 0.948683298050514, 0.316227766016838\right\rangle$$$A
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