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$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 2, -2, 0\right\rangle$$$ by the scalar $$$\frac{\sqrt{2}}{4}$$$, with steps shown.
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Your Input

Calculate $$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{BlueViolet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle {\color{BlueViolet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(2\right), {\color{BlueViolet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(-2\right), {\color{BlueViolet}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(0\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle$$$

Answer

$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle\approx \left\langle 0.707106781186548, -0.707106781186548, 0\right\rangle$$$A