Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Exercises - Page 650: 36

$\overrightarrow{AB}$ and $\overrightarrow{PQ}$ are not parallel.

$$\overrightarrow{AB}=B-A=(2,2)-(5,8)=(-3,-6),$$ $$\overrightarrow{PQ}=Q-P=(-3,8)-(2,2)=(-5,6).$$ Hence, $\overrightarrow{AB}$ and $\overrightarrow{PQ}$ are not parallel.