Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

The diagram displays the points $O$ and $R$, together with the vectors $\mathbf{a}$ and $\mathbf{b}$.
(a)[1]

Since $\overrightarrow{OP} = 2\mathbf{a}$, indicate and label the location of $P$ on the grid.

(b)[1]

Since $\overrightarrow{OQ} = 2\mathbf{b} - \mathbf{a}$, indicate and label the location of $Q$ on the grid.

(c)[2]

Write $\overrightarrow{OR}$ using $\mathbf{a}$ and $\mathbf{b}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The point $P$.

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