Answer
The vectors $\overrightarrow{ AB}$ and $\overrightarrow{ PQ}$ are not equivalent.
Work Step by Step
First, we have
$$\overrightarrow{ AB}=B-A=(3,3,5)-(1,1,0)=\langle 2,2,5 \rangle,$$
$$\overrightarrow{ PQ}=Q-P=(4,-7,13)-(2,-9,7)=\langle 2,2,6 \rangle.$$
Now, the vectors $\overrightarrow{ AB}$ and $\overrightarrow{ PQ}$ are not equivalent.
