(i)[4]
Apply a scalar product to determine angle $BOA$.
(ii)[4]
The point $C$ is the mid-point of $AB$. The point $D$ is defined by $\overrightarrow{OD} = 2\overrightarrow{OB}$. Determine $\overrightarrow{DC}$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
With origin $O$, the position vectors of points $A$ and $B$ are $3\mathbf{i} + 4\mathbf{j} - \mathbf{k}$ and $5\mathbf{i} - 2\mathbf{j} - 3\mathbf{k}$ respectively.