Linear Algebra Assignment 1

Let $P(1,1,3)$, $Q(2,-1,2)$, and $R(2,2,-1)$ be points in ${\mathbb{R}}^2$

(a) Using a linear combination of the vectors $\overrightarrow{PQ}$ and $\overrightarrow{PR}$, find an equation, in vector form, of the plane determined by the points $P$, $Q$, and $R$.