# How do you find the unit vector having the same direction as vector v = -6i +5j?

$= \frac{- 6 i + 5 j}{\sqrt{61}}$
$\hat{v} = \frac{\vec{v}}{\left\mid \vec{v} \right\mid} = \frac{- 6 i + 5 j}{\sqrt{{\left(- 6\right)}^{2} + {5}^{2}}} = \frac{- 6 i + 5 j}{\sqrt{61}}$