(i)[3]
When $p = 6$, determine the unit vector pointing in the direction of $\overrightarrow{AB}$.
(ii)[4]
Determine the values of $p$ such that angle $AOB = \cos^{-1}\!\left(\frac{1}{5}\right)$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
With origin $O$, the position vectors of $A$ and $B$ are $\overrightarrow{OA} = i + 2j$ and $\overrightarrow{OB} = 4i + pj$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The vector $\overrightarrow{AB}=3\mathbf{i}-2\mathbf{j}+6\mathbf{k}$” …
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