Vector Scalar Multiplication Calculator

The calculator will multiply the given vector by the given scalar, with steps shown. It handles vectors of any size.

$$$\langle$$$ $$$\rangle$$$
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Your Input

Calculate $$$2\cdot \left\langle 3, -4, 5\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Violet}\left(2\right)}\cdot \left\langle 3, -4, 5\right\rangle = \left\langle {\color{Violet}\left(2\right)}\cdot \left(3\right), {\color{Violet}\left(2\right)}\cdot \left(-4\right), {\color{Violet}\left(2\right)}\cdot \left(5\right)\right\rangle = \left\langle 6, -8, 10\right\rangle$$$

Answer

$$$2\cdot \left\langle 3, -4, 5\right\rangle = \left\langle 6, -8, 10\right\rangle$$$A