Answer
\begin{align*}
U+V&=(-5,1)\\
U-V&=(-5,-1)\\
2U-3V&=(-10,-3).
\end{align*}
Work Step by Step
We have $U=\langle -5,0\rangle, V=\langle 0,1\rangle.$
First find $U+V$,
\begin{align*}
U+V=(-5,0)+(0,1)\\
&=(-5+0,0+1)\\
&=(-5,1).
\end{align*}
Hence, $U+V=(-5,1).$
Then find $U-V$,
\begin{align*}
U-V&=(-5,0)-(0,1)\\
&=(-5-0,0-1)\\
&=(-5,-1).
\end{align*}
Hence, $U-V=(-5,-1).$
In the end find,
\begin{align*}
2U-3V=2(-5,0)-3(0,1)\\
&=(-10,0)-(0,3)\\
&=(-10-0,0-3)\\
&=(-10,-3).
\end{align*}
