Mathematics 0580 · IGCSE · Vectors in two dimensions
Vectors in two dimensions — practice question
The vectors are supplied as $\overrightarrow{AB} = \begin{pmatrix}6\\-1\end{pmatrix}$, $\overrightarrow{BC} = \begin{pmatrix}-2\\5\end{pmatrix}$, and $\overrightarrow{DC} = \begin{pmatrix}2\\-3\end{pmatrix}$.
(a(i))[2]
Determine $\overrightarrow{AC}$.
(a(ii))[2]
Determine $\overrightarrow{BD}$.
(a(iii))[2]
Determine $\lvert\overrightarrow{BC}\rvert$.
(b(i))[1]
Find, in terms of $a$ and $b$, $\overrightarrow{AB}$.
(b(ii))[2]
Find $\overrightarrow{OE}$.
(b(iii))[3]
Find the position vector of $D$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\begin{pmatrix}4\\4\end{pmatrix}$” …