ECZ 2019 · GCE Paper 2 · Question 3 — Vectors In Two Dimensions

Question from ECZ 2019 · GCE Paper 2 · Question 3

(a) Express 6n - 3 - 5n - 2 as a single fraction in its simplest form.[3]

Verified working — step 1

Common denominator = (n - 3)(n - 2).

(b) In the diagram below, OA = a, OB = b and ACCB = 12.

(b(i)) Express in terms of a and/or b

(b(i)(a)) AB,[1]

Verified working — step 1

Route A to B through O.

(b(i)(b)) AC,[1]

Verified working — step 1

AC:CB = 1:2, so C splits AB with AC = …

(b(i)(c)) OC.[1]

Verified working — step 1

OC = OA + AC.

(b(ii)) Given that M is the midpoint of OC, show that AM = (16)(b - 4a).[2]

Verified working — step 1

M is the midpoint of OC, so OM = (12)OC.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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