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$$$\frac{\sqrt{34}}{2}\cdot \left\langle - \frac{3}{17}, - \frac{4}{17}, \frac{3}{17}\right\rangle$$$

The calculator will multiply the vector $$$\left\langle - \frac{3}{17}, - \frac{4}{17}, \frac{3}{17}\right\rangle$$$ by the scalar $$$\frac{\sqrt{34}}{2}$$$, with steps shown.
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Your Input

Calculate $$$\frac{\sqrt{34}}{2}\cdot \left\langle - \frac{3}{17}, - \frac{4}{17}, \frac{3}{17}\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Chocolate}\left(\frac{\sqrt{34}}{2}\right)}\cdot \left\langle - \frac{3}{17}, - \frac{4}{17}, \frac{3}{17}\right\rangle = \left\langle {\color{Chocolate}\left(\frac{\sqrt{34}}{2}\right)}\cdot \left(- \frac{3}{17}\right), {\color{Chocolate}\left(\frac{\sqrt{34}}{2}\right)}\cdot \left(- \frac{4}{17}\right), {\color{Chocolate}\left(\frac{\sqrt{34}}{2}\right)}\cdot \left(\frac{3}{17}\right)\right\rangle = \left\langle - \frac{3 \sqrt{34}}{34}, - \frac{2 \sqrt{34}}{17}, \frac{3 \sqrt{34}}{34}\right\rangle$$$

Answer

$$$\frac{\sqrt{34}}{2}\cdot \left\langle - \frac{3}{17}, - \frac{4}{17}, \frac{3}{17}\right\rangle = \left\langle - \frac{3 \sqrt{34}}{34}, - \frac{2 \sqrt{34}}{17}, \frac{3 \sqrt{34}}{34}\right\rangle\approx \left\langle -0.514495755427527, -0.685994340570035, 0.514495755427527\right\rangle$$$A