Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

The vectors are $p = \begin{pmatrix}8\\-5\end{pmatrix}$ and $q = \begin{pmatrix}-4\\5\end{pmatrix}$.
(a(i))[1]

Calculate $3q$.

(a(ii)(a))[1]

Calculate $p-q$.

(a(ii)(b))[2]

Calculate $|p-q|$.

(b)[3]

Find the position vector of $S$, written in terms of $a$ and/or $b$. Give your result in its simplest form.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate vector $\begin{pmatrix}-12\\15\end{pmatrix}$

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