# How do you find a unit vector in the direction of v: v=3i-2j?

Unit vector along a non-null $\vec{v}$, i.e., $\hat{\vec{v}} = \frac{\vec{v}}{|} | \vec{v} | |$.
$\text{Since, } | | \vec{v} | | = \sqrt{9 + 4} = \sqrt{13} , \hat{\vec{v}} = \frac{3}{\sqrt{13}} i - \frac{2}{\sqrt{13}} j$.