# How do you normalize  (- 4 i - 5 j + 2k)?

Oct 25, 2016

$\frac{1}{3 \sqrt{5}} \left(- 4 i - 5 j + 2 k\right)$

#### Explanation:

to normalise, divide it by it's magnitide

which is $\sqrt{{\left(- 4\right)}^{2} + {\left(- 5\right)}^{2} + {2}^{2}} = 3 \sqrt{5}$

to give

$\frac{1}{3 \sqrt{5}} \left(- 4 i - 5 j + 2 k\right)$