Answer
$13i-21j$
Work Step by Step
Let us consider two vectors $v=pi+qj$ and $w=xi+yj$; then we have: $v \pm w=(p \pm x)i+(q \pm y)j$
The magnitude of any vector (let us say $v$) can be determined using the formula
$||v||=\sqrt{p^2+q^2+r^2} $
Therefore, $3v -2w= 3(3i-5j) -2(-2i+3j) \\
= 9i-15j +4i -6j \\
= 13i-21j$
