Mathematics 4024 · O Level · Vectors in two dimensions

Vectors in two dimensions — practice question

OPQR forms a parallelogram. $\overrightarrow{OP}=a$ and $\overrightarrow{OR}=2b$. M lies halfway along QR. N is a point on PQ, with PN:NQ=1:3.
(a(i))[1]

Find $\overrightarrow{MQ}$ in its simplest form, using a and/or b.

(a(ii))[2]

Find $\overrightarrow{NM}$ in its simplest form, using a and/or b.

(b)[2]

OP is extended to X, and MNX is a straight line. Find the position vector of X.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac12 a$

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