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