Español | Português
  1. Home
  2. Calculators
  3. Calculators: Linear Algebra
  4. Linear Algebra Calculator

$$$\left(- \frac{4}{57}\right)\cdot \left\langle 5, 4, 4\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 5, 4, 4\right\rangle$$$ by the scalar $$$- \frac{4}{57}$$$, with steps shown.
$$$\langle$$$ $$$\rangle$$$
Comma-separated.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Calculate $$$\left(- \frac{4}{57}\right)\cdot \left\langle 5, 4, 4\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Chocolate}\left(- \frac{4}{57}\right)}\cdot \left\langle 5, 4, 4\right\rangle = \left\langle {\color{Chocolate}\left(- \frac{4}{57}\right)}\cdot \left(5\right), {\color{Chocolate}\left(- \frac{4}{57}\right)}\cdot \left(4\right), {\color{Chocolate}\left(- \frac{4}{57}\right)}\cdot \left(4\right)\right\rangle = \left\langle - \frac{20}{57}, - \frac{16}{57}, - \frac{16}{57}\right\rangle$$$

Answer

$$$\left(- \frac{4}{57}\right)\cdot \left\langle 5, 4, 4\right\rangle = \left\langle - \frac{20}{57}, - \frac{16}{57}, - \frac{16}{57}\right\rangle\approx \left\langle -0.350877192982456, -0.280701754385965, -0.280701754385965\right\rangle$$$A