Answer
\begin{align*}
U+V&=-3i+5j.\\
U-V&=-3i-5j.\\
3U+2V&=-9i+10j.
\end{align*}
Work Step by Step
We have $U=-3i, V=5j.$
First find $U+V$,
\begin{align*}
U+V&=-3i+5j.
\end{align*}
Hence, $U+V=-3i+5j.$
Then find $U-V$,
\begin{align*}
U-V&=-3i-5j.
\end{align*}
Hence, $U-V=-3i-5j.$
In the end find,
\begin{align*}
3U+2V&=3(-3i)+2(5j)\\
&=-9i+10j.
\end{align*}
