Answer
Part A:
$\begin{bmatrix}
4\\
7\\
\end{bmatrix}$ = <4, 7>
Part B:
$\begin{bmatrix}
-2\\
3\\
\end{bmatrix}$ =
Part C:
$\begin{bmatrix}
8\\
1\\
\end{bmatrix}$ = <8,1>
Work Step by Step
First rewrite the vectors as matrices:
u = $\begin{bmatrix}
1\\
5\\
\end{bmatrix}$ v = $\begin{bmatrix}
3\\
2\\
\end{bmatrix}$
Part A:
$\begin{bmatrix}
1+3\\
5+2\\
\end{bmatrix}$ = $\begin{bmatrix}
4\\
7\\
\end{bmatrix}$ = <4, 7>
Part B:
$\begin{bmatrix}
1-3\\
5-2\\
\end{bmatrix}$ = $\begin{bmatrix}
-2\\
3\\
\end{bmatrix}$ =
Part C:
$\begin{bmatrix}
(3)3 - 1\\
(3)2 - 5\\
\end{bmatrix}$ = $\begin{bmatrix}
8\\
1\\
\end{bmatrix}$ = <8,1>