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$$$\left(- \frac{5}{22}\right)\cdot \left\langle 1, 2, -1, 0, 4\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 1, 2, -1, 0, 4\right\rangle$$$ by the scalar $$$- \frac{5}{22}$$$, with steps shown.
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Your Input

Calculate $$$\left(- \frac{5}{22}\right)\cdot \left\langle 1, 2, -1, 0, 4\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left\langle 1, 2, -1, 0, 4\right\rangle = \left\langle {\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left(1\right), {\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left(2\right), {\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left(-1\right), {\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left(0\right), {\color{Blue}\left(- \frac{5}{22}\right)}\cdot \left(4\right)\right\rangle = \left\langle - \frac{5}{22}, - \frac{5}{11}, \frac{5}{22}, 0, - \frac{10}{11}\right\rangle$$$

Answer

$$$\left(- \frac{5}{22}\right)\cdot \left\langle 1, 2, -1, 0, 4\right\rangle = \left\langle - \frac{5}{22}, - \frac{5}{11}, \frac{5}{22}, 0, - \frac{10}{11}\right\rangle\approx \left\langle -0.227272727272727, -0.454545454545455, 0.227272727272727, 0, -0.909090909090909\right\rangle$$$A