# How would you find the unit vector having the same direction as v = -5i + 12j?

Divide the given vector by its magnitude: $\hat{v} = - \frac{5}{13} \hat{i} + \frac{12}{13} \hat{j}$
|barv| = sqrt((-5)² + 12²)
$| \overline{v} | = 13$
$\hat{v} = - \frac{5}{13} \hat{i} + \frac{12}{13} \hat{j}$