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Point $C$ is defined by $\overrightarrow{AB} = \overrightarrow{BC}$. Determine the unit vector along the direction of $\overrightarrow{OC}$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
With origin $O$, the position vectors of $A$ and $B$ are $\overrightarrow{OA} = 2\mathbf{i} - 5\mathbf{j} - 2\mathbf{k}$ and $\overrightarrow{OB} = 4\mathbf{i} - 4\mathbf{j} + 2\mathbf{k}$, respectively.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Examples of accurate vector expressions are $\vec{AB}=2\mathbf{i}+\mathbf{j}+4\mathbf{k}$ or $\vec{AC}=4\mathbf{i}+2\mathbf{j}+8\mathbf{k}$” …
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