Answer
$\mathbf{v}=-8\mathbf{i}+11\mathbf{j}$
Work Step by Step
Here,
$\begin{align}
& {{x}_{1}}=2 \\
& {{x}_{2}}=-6 \\
& {{y}_{1}}=-5 \\
& {{y}_{2}}=6 \\
\end{align}$
Substituting the value of ${{x}_{1}},{{y}_{1}},{{x}_{2}},{{y}_{2}}$ we get,
$\begin{align}
& \mathbf{v}=\left[ -6-2 \right]\mathbf{i}+\left[ 6-\left( -5 \right) \right]\mathbf{j} \\
& =-8\mathbf{i}+11\mathbf{j}
\end{align}$
