Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

Vector $p$ is $\begin{pmatrix}3\\4\end{pmatrix}$, while vector $q$ is $\begin{pmatrix}-4\\3\end{pmatrix}$.
(a)[1]

Express $3p - q$ as a column vector.

(b)[2]

Point $R$ is $(11, -2)$ and point $O$ is $(0, 0)$. The vector $\overrightarrow{OR}$ can be expressed in the form $p + nq$, where $n$ is an integer. Find the value of $n$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The column vector is $\begin{pmatrix}13\\9\end{pmatrix}$.

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