Mathematics 4024 · O Level · Vectors in two dimensions
Vectors in two dimensions — practice question
The given vectors are $\vec{JK}=\begin{pmatrix}2\\5\end{pmatrix}$, $\vec{KL}=\begin{pmatrix}4\\-2\end{pmatrix}$, and $\vec{LM}=\begin{pmatrix}-1\\3\end{pmatrix}$.
(a(i))[1]
Find the vector $\vec{JM}$.
(a(ii))[2]
Calculate the magnitude $|\vec{KL}|$.
(b(i)(a))[1]
Express $\vec{AD}$, as simply as possible, in terms of $a$ and $b$.
(b(i)(b))[1]
Express $\vec{EB}$, as simply as possible, in terms of $a$ and $b$.
(b(ii))[1]
Find the ratio $|\vec{EB}| : |\vec{AD}|$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Thus, $\begin{pmatrix}5\\6\end{pmatrix}$” …