# How do you find the unit vector that has the same direction as the vector v=5j?

$\hat{\vec{v}} = \frac{\vec{v}}{|} \vec{v} | = \frac{5 \vec{j}}{5} = \vec{j}$
unit vector $\hat{\vec{a}} = \frac{\vec{a}}{|} \vec{a} |$
$\hat{\vec{v}} = \frac{\vec{v}}{|} \vec{v} | = \frac{5 \vec{j}}{|} 5 j |$
$\hat{\vec{v}} = \frac{\vec{v}}{|} \vec{v} | = \frac{5 \vec{j}}{5} = \vec{j}$