Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

$ABCD$ is a parallelogram whose sides are $AB$, $BC$, $CD$ and $DA$. The point $A$ is $(-3,7)$ and the point $B$ is $(2,5)$. $\vec{AD} = \begin{pmatrix}-1\\-6\end{pmatrix}$.
(a)[1]

Find the coordinate pair of point $D$.

(b)[2]

Find the value of $|\vec{AD}|$.

(c)[3]

Find the vector $\vec{AC}$.

(d)[4]

The straight line $L$ is perpendicular to $AB$ and passes through point $D$. Find the equation of line $L$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $D=(-4,1)$

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