Answer
$$\langle5,2\rangle$$
Work Step by Step
$\vec{PQ}$ is the vector from point $P:(-2,2)$ to $Q:(3,4).$
The change in the x-direction is
$$3-(-2)=5.$$
The change in the y-direction is
$$4-2=2.$$
So the vector can be written in component form as
$$\vec{PQ}=\langle5,2\rangle.$$
