Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

The vector $\vec{PQ}$ has the form $\begin{pmatrix}4 \\ -2\end{pmatrix}$.
(a)[2]

Point $Q$ has position vector $\begin{pmatrix}2 \\ 5\end{pmatrix}$. Determine the position vector of point $P$.

(b)[2]

$|\vec{PQ}| = \sqrt{a}$. Determine $a$.

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