Answer
$v=(-3,\frac{9}{2}).$
Work Step by Step
The vector $v$ can be calculated as follows
\begin{align*}
v&=\frac{3}{2}u\\
&=\frac{3}{2}(-2,3)\\
&=(-3,\frac{9}{2}).
\end{align*}
Geometrically, see the graph
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