Answer
$\frac{4}{5}\mathbf{i}-\frac{3}{5}\mathbf{j}$
Work Step by Step
Therefore,
$\begin{align}
& \left\| \mathbf{v} \right\|=\sqrt{{{8}^{2}}+{{\left( -6 \right)}^{2}}} \\
& =\sqrt{100} \\
& =10
\end{align}$
So,
$\begin{align}
& \frac{\mathbf{v}}{\parallel \mathbf{v}\parallel }=\frac{8}{10}\mathbf{i}-\frac{6}{10}\mathbf{j} \\
& =\frac{4}{5}\mathbf{i}-\frac{3}{5}\mathbf{j}
\end{align}$
