# What is the unit vector in the direction of (-3,5,4)?

Sep 25, 2016

Divide the given vector by the magnitude of the vector

#### Explanation:

Let the vector $\overline{A} = \left(- 3 , 5 , 4\right)$

The magnitude, $| \overline{A} |$, is:

$| \overline{A} | = \sqrt{- {3}^{2} + {5}^{2} + {4}^{2}}$

$| \overline{A} | = \sqrt{50}$

The unit vector, $\hat{A}$, is:

$\hat{A} = \frac{\left(- 3 , 5 , 4\right)}{\sqrt{50}}$