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$$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle$$$
Your Input
Calculate $$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle$$$.
Solution
Multiply each coordinate of the vector by the scalar:
$$${\color{Chartreuse}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left\langle 3, 1\right\rangle = \left\langle {\color{Chartreuse}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(3\right), {\color{Chartreuse}\left(\frac{\sqrt{10}}{10}\right)}\cdot \left(1\right)\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, \frac{\sqrt{10}}{10}\right\rangle$$$
Answer
$$$\frac{\sqrt{10}}{10}\cdot \left\langle 3, 1\right\rangle = \left\langle \frac{3 \sqrt{10}}{10}, \frac{\sqrt{10}}{10}\right\rangle\approx \left\langle 0.948683298050514, 0.316227766016838\right\rangle$$$A
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