CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 1 · Question Q19

The point P has position vector \begin{pmatrix}-3 \\ 5\end{pmatrix} and Q is a point such that \vec{PQ} = \begin{pmatrix}1 \\ -7\end{pmatrix}. The position vector of Q is

1. (A)\begin{pmatrix}4 \\ -12\end{pmatrix}
2. (B)\begin{pmatrix}4 \\ 12\end{pmatrix}
3. (C)\begin{pmatrix}2 \\ 2\end{pmatrix}
4. (D)\begin{pmatrix}-2 \\ -2\end{pmatrix}