(i)[6]
Find the angle $ABC$.
(ii)[2]
Given that $ABCD$ is a parallelogram, find the position vector of $D$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
With respect to the origin $O$, the position vectors for the points $A$, $B$ and $C$ are $\overrightarrow{OA} = \begin{pmatrix}2\\3\\5\end{pmatrix}$, $\overrightarrow{OB} = \begin{pmatrix}4\\2\\3\end{pmatrix}$ and $\overrightarrow{OC} = \begin{pmatrix}10\\0\\6\end{pmatrix}$.