Mathematics 4024 · O Level · Vectors in two dimensions
Vectors in two dimensions — practice question
In quadrilateral $ABCD$, $H$, $K$, $L$ and $M$ mark the midpoints of $AB$, $BC$, $CD$ and $AD$ respectively. $\vec{AB} = 2a$, $\vec{BC} = 2b$ and $\vec{AD} = 2d$.
(a)[1]
Express $\vec{HK}$ in the simplest form possible, using $a$ and $b$ or $a$, $b$ and $d$.
(b)[1]
Express $\vec{CD}$ in the simplest form possible, using $a$ and $b$ or $a$, $b$ and $d$.
(c)[2]
Express $\vec{ML}$ in the simplest form possible, using $a$ and $b$ or $a$, $b$ and $d$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Therefore, $a+b$” …