Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

Given $\mathbf{a}=\begin{pmatrix}-3\\4\end{pmatrix}$ and $\mathbf{b}=\begin{pmatrix}8\\-2\end{pmatrix}$.
(a)[2]

Work out the value of $3\mathbf{a}-\mathbf{b}$.

(b)[3]

Find the magnitude of $|\mathbf{a}+\mathbf{b}|$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct result: $\begin{pmatrix}-17\\14\end{pmatrix}$

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