# How do you normalize (7 i -j +2k)?

Feb 15, 2016

To normalize a vector we divide each element by the length of the vector.

The resulting vector is $\left(\frac{7}{\sqrt{54}} i - \frac{1}{\sqrt{54}} j + \frac{2}{\sqrt{54}} k\right)$

#### Explanation:

Find the length of the vector:

$l = \sqrt{{7}^{2} + {\left(- 1\right)}^{2} + {2}^{2}} = \sqrt{54}$

Divide each element of the original vector by $\sqrt{54}$.