(i)[4]
Show that angle $OAB$ measures a right angle.
(ii)[3]
Find the area enclosed by triangle $OAB$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Relative to the origin $O$, the position vector of $A$ is $3\mathbf{i} + 2\mathbf{j} - \mathbf{k}$, whereas the position vector of $B$ is $7\mathbf{i} - 3\mathbf{j} + \mathbf{k}$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Form vectors $\vec{AB}$ and $\vec{AO}$, or an equivalent pair” …
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