Review question

# If $PRBQ$ is a parallelogram, what is the position vector of $Q$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8573

## Question

The points $A$ and $B$ have position vectors $\mathbf{a}$ and $\mathbf{b}$ respectively, relative to an origin $O$. The point $P$ divides the line segment $OA$ in the ratio $1:3$, and the point $R$ divides the line segment $AB$ in the ratio $1:2$. Given that $PRBQ$ is a parallelogram, determine the position vector of $Q$.