Mathematics 4024 · O Level · Vector geometry

Vector geometry — practice question

The diagram shows $\overrightarrow{OA}=a$, $\overrightarrow{OB}=2b$ and $AB:BC=1:3$. $OBD$ is a straight line.
(a)[1]

Write $\overrightarrow{AB}$ using $a$ and $b$.

(b)[2]

Show that $\overrightarrow{OC} = 8b-3a$.

(c)[1]

$\overrightarrow{AD}=k\overrightarrow{OC}$. Find the value of $k$ in this relation.

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