# How do you normalize  <0,8,5>?

May 13, 2018

$\boldsymbol{\hat{a}} = \left[\left(0 , \frac{8 \sqrt{89}}{89} , \frac{5 \sqrt{89}}{89}\right)\right]$

#### Explanation:

A unit vector in the direction of some vector $\boldsymbol{a}$ is given by:

$\boldsymbol{\hat{a}} = \frac{\boldsymbol{a}}{|} | \boldsymbol{a} | |$

Let:

$\boldsymbol{a} = \left[\left(0 , 8 , 5\right)\right]$

$| | \boldsymbol{a} | | = \sqrt{{\left(0\right)}^{2} + {\left(8\right)}^{2} + {\left(5\right)}^{2}} = \sqrt{89}$

$\therefore$

$\boldsymbol{\hat{a}} = \left[\left(0 , \frac{8 \sqrt{89}}{89} , \frac{5 \sqrt{89}}{89}\right)\right]$