Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

A diagram includes the points $O$, $A$, $D$ and $B$. The diagram is not drawn to scale. $\vec{OA} = x$, $\vec{OB} = y$ and $\vec{OD} = \frac{3}{7}x + \frac{4}{7}y$.
(main)[2]

Calculate the ratio $AD : DB$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\overrightarrow{AD}=-\frac{4}{7}x+\frac{4}{7}y$ or $\overrightarrow{DB}=-\frac{3}{7}x+\frac{3}{7}y$

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