# How do you find a unit vector of 4i+3j?

Jun 21, 2016

$\hat{u} = \frac{4}{5} i + \frac{3}{5} j$

#### Explanation:

$\textcolor{b l u e}{\text{Using ratios}}$

Let unit vector be $\hat{u}$

$\frac{{j}_{2}}{{j}_{1}} = \frac{{i}_{2}}{{i}_{1}} = \frac{1}{5}$

${i}_{2} = {i}_{1} / 5 = \frac{4}{5}$

${j}_{2} = {j}_{1} / 5 = \frac{3}{5}$

$\hat{u} = \frac{4}{5} i + \frac{3}{5} j$