Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

$F$ is located at $(1, -4)$, while $\vec{FG} = \begin{pmatrix}8\\-3\end{pmatrix}$ and $\vec{GH} = \begin{pmatrix}-12\\35\end{pmatrix}$.
(a)[1]

Find $3\vec{FG}$.

(b)[1]

Find $\vec{FG} + \vec{GH}$.

(c)[1]

Find the coordinates of point $G$.

(d)[2]

Find the magnitude of vector $\vec{GH}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Final answer: $\begin{pmatrix}24\\-9\end{pmatrix}$

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