Question 2
In the triangle $ABC$, points $D,E,F$ are on the sides $BC,CA$ and $AB$, respectively, such that $FE$ is parallel to $BC$ and $DF$ is parallel to $CA$. Let $P$ be the intersection of $BE$ and $DF$, and $Q$ the intersection of $FE$ and $AD$. Prove that $PQ$ is parallel to $AB$.