Vector Scalar Multiplication Calculator
Multiply vectors by a scalar step by step
The calculator will multiply the given vector by the given scalar, with steps shown. It handles vectors of any size.
Your Input
Calculate $$$2\cdot \left\langle 3, -4, 5\right\rangle$$$.
Solution
Multiply each coordinate of the vector by the scalar:
$$${\color{Chartreuse}\left(2\right)}\cdot \left\langle 3, -4, 5\right\rangle = \left\langle {\color{Chartreuse}\left(2\right)}\cdot \left(3\right), {\color{Chartreuse}\left(2\right)}\cdot \left(-4\right), {\color{Chartreuse}\left(2\right)}\cdot \left(5\right)\right\rangle = \left\langle 6, -8, 10\right\rangle$$$
Answer
$$$2\cdot \left\langle 3, -4, 5\right\rangle = \left\langle 6, -8, 10\right\rangle$$$A