Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

ORT makes up a triangle. $X$ lies on $TR$ so that $TX : XR = 3 : 2$. $O$ is the origin, $\overrightarrow{OR} = r$ and $\overrightarrow{OT} = t$. The diagram is labelled NOT TO SCALE.
(main)[3]

State the position vector of $X$. Write your answer using $r$ and $t$ in simplest form.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{1}{5}(3r+2t)$ or $\frac{2}{5}t+\frac{3}{5}r$

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