(i)[6]
Use a scalar product to determine angle $BOC$.
(ii)[2]
Find a vector with magnitude $35$ that is parallel to the vector $\vec{OC}$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts a parallelogram $OABC$ in which $\vec{OA} = \begin{pmatrix}3\\3\\-4\end{pmatrix}$ and $\vec{OB} = \begin{pmatrix}5\\0\\2\end{pmatrix}$.