# How do you subtract vectors given V1 = -5i + 2j and V2 = -3i -9j?

$V 1 - V 2 = - 2 i + 11 j$
If $V 1 = \left(a 1 i + b 1 j\right) = \left(a 1 , b 1\right) \mathmr{and} V 2 = \left(a 2 i + b 2 j\right) = \left(a 2 , b 2\right)$, then,
$V 1 \pm V 2 = \left(a 1 \pm a 2 , b 1 \pm b 2\right)$
So, here, $V 1 - V 2 \left(- 5 - \left(- 3\right) , 2 - \left(- 9\right) = - 2 , 11\right) = - 2 i + 11 j$.