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

The calculator will multiply the vector $$$\left\langle \sqrt{2}, -1, 1\right\rangle$$$ by the scalar $$$\frac{1}{2}$$$, with steps shown.
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Your Input

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

Solution

Multiply each coordinate of the vector by the scalar:

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

Answer

$$$\frac{1}{2}\cdot \left\langle \sqrt{2}, -1, 1\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{1}{2}, \frac{1}{2}\right\rangle\approx \left\langle 0.707106781186548, -0.5, 0.5\right\rangle$$$A