Answer
$-4\mathbf{i}+\mathbf{j}$
Work Step by Step
Here,
$\begin{align}
& {{a}_{1}}=-3 \\
& {{a}_{2}}=-1 \\
& {{b}_{1}}=7 \\
& {{b}_{2}}=-6
\end{align}$
Substitute the value of ${{a}_{1}},{{a}_{2}},{{b}_{1}},{{b}_{2}}$ in equation (I) to get,
$\begin{align}
& \mathbf{v}+\mathbf{w}=\left[ -3+\left( -1 \right) \right]\mathbf{i}+\left[ 7-6 \right]\mathbf{j} \\
& =-4\mathbf{i}+\mathbf{j}
\end{align}$
