Answer
$$\overrightarrow{PQ}= \langle -4,1\rangle $$
$$\|\overrightarrow{PQ}\|= \sqrt{17}$$
Work Step by Step
$$\overrightarrow{PQ}=Q-P=(-3,5)-(1,4)=\langle -4,1\rangle $$
and moreover, the length is given by
$$\|\overrightarrow{PQ}\|=\sqrt{(-4)^2+1^2}=\sqrt{17}$$