Answer
$2{\bf{v}} - 3{\bf{w}} = \left( { - 13,16} \right)$
Work Step by Step
We have ${\bf{v}} = \left( { - 2,5} \right)$ and ${\bf{w}} = \left( {3, - 2} \right)$. So, $2{\bf{v}} - 3{\bf{w}} = 2\left( { - 2,5} \right) - 3\left( {3, - 2} \right) = \left( { - 13,16} \right)$.
