Answer
Part A:
$\begin{bmatrix}
9\\
-3\\
\end{bmatrix}$ = <9, -3>
Part B:
$\begin{bmatrix}
5\\
-5\\
\end{bmatrix}$ = <5, -5>
Part C:
$\begin{bmatrix}
-1\\
7\\
\end{bmatrix}$ =
Work Step by Step
First rewrite the vectors as matrices:
u = $\begin{bmatrix}
7\\
-4\\
\end{bmatrix}$ v = $\begin{bmatrix}
2\\
1\\
\end{bmatrix}$
Part A:
$\begin{bmatrix}
7+2\\
-4+1\\
\end{bmatrix}$ = $\begin{bmatrix}
9\\
-3\\
\end{bmatrix}$ = <9, -3>
Part B:
$\begin{bmatrix}
7-2\\
-4-1\\
\end{bmatrix}$ = $\begin{bmatrix}
5\\
-5\\
\end{bmatrix}$ = <5, -5>
Part C:
$\begin{bmatrix}
(3)2 - 7\\
(3)1 + 4\\
\end{bmatrix}$ = $\begin{bmatrix}
-1\\
7\\
\end{bmatrix}$ =