Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

The diagram depicts a parallelogram $CDEF$. $\overrightarrow{FE} = m$ and $\overrightarrow{CE} = n$. $B$ lies at the midpoint of $CD$. $\overrightarrow{FA} = 2\overrightarrow{AC}$.
(a)[3]

Determine an expression for $\overrightarrow{AB}$ in terms of $m$ and $n$. Write your answer in the simplest form possible.

(b)[2]

State two facts about vectors $\overrightarrow{GH}$ and $\overrightarrow{JK}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: So the answer is $\dfrac{5}{6}m - \dfrac{1}{3}n$.

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