Answer
See below:
Work Step by Step
The magnitude of a linear combination of the vector is calculated as,
$\left\| \mathbf{v} \right\|=\sqrt{{{a}^{2}}+{{b}^{2}}}$
Here, a is the horizontal component of $\mathbf{v}$ and b is the vertical component of $\mathbf{v}$.
The next step is:
$\begin{align}
& \left\| \mathbf{v} \right\|=\sqrt{{{2}^{2}}+{{3}^{2}}} \\
& =\sqrt{4+9} \\
& =\sqrt{13}
\end{align}$
Thus, the magnitude of the vector is $\sqrt{13}$.
