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State the position vector of $X$. Express your answer in the simplest form using $\mathbf{a}$ and $\mathbf{b}$.
Mathematics 4024 · O Level · Vector geometry
Vector geometry — practice question
$OCB$ forms a triangle. Point $A$ lies on $OC$ such that $OA : AC = 1 : 3$. $X$ is the midpoint of $BC$. $\vec{OA} = \mathbf{a}$ and $\vec{OB} = \mathbf{b}$.