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

$$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 0, 3, 4\right\rangle$$$ by the scalar $$$\frac{4}{25}$$$, 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 $$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Red}\left(\frac{4}{25}\right)}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle {\color{Red}\left(\frac{4}{25}\right)}\cdot \left(0\right), {\color{Red}\left(\frac{4}{25}\right)}\cdot \left(3\right), {\color{Red}\left(\frac{4}{25}\right)}\cdot \left(4\right)\right\rangle = \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle$$$

Answer

$$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle = \left\langle 0, 0.48, 0.64\right\rangle$$$A