Answer
$\frac{3}{\sqrt{13}}\mathbf{i}-\frac{2}{\sqrt{13}}\mathbf{j}$
Work Step by Step
Therefore,
$\begin{align}
& \left\| \mathbf{v} \right\|=\sqrt{{{3}^{2}}+{{\left( -2 \right)}^{2}}} \\
& =\sqrt{13}
\end{align}$
So,
$\frac{\mathbf{v}}{\parallel \mathbf{v}\parallel }=\frac{3}{\sqrt{13}}\mathbf{i}-\frac{2}{\sqrt{13}}\mathbf{j}$
