Answer
$$\langle0,-15\rangle$$
Work Step by Step
$\vec{PR}$ is the vector from point $P:(-2,2)$ to $R:(-2,5).$
The change in the x-direction is
$$-2-(-2)=0.$$
The change in the y-direction is
$$5-2=3.$$
So the vector can be written in component form as
$$\vec{PQ}=\langle0,3\rangle.$$
To scale a vector, multiply each component by the scale factor, in this case, $-5$:
$$-5\vec{PQ}=\langle-5(0),-5(3)\rangle=\langle0,-15\rangle.$$
