ECZ 2023 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions
Question from ECZ 2023 · GCE Paper 2 · Question 6
(a) In the diagram, OA = 2a, AB = b, OC = 3b, M is the midpoint of OB and OC is parallel to AB. Express in terms of a and/or b
(a(i)) OB,[1]
Verified working — step 1
Head minus tail: OB = …(a(ii)) CB,[1]
Verified working — step 1
CB = OB - OC = …(a(iii)) AC,[1]
Verified working — step 1
AC = OC - OA = …(a(iv)) CM.[2]
Verified working — step 1
M is the midpoint of OB, so OM = (12)OB = (12)(2a + b) = a + (12)b.(b) The equation of a curve is y = x3 - 27x. Find the coordinates of the turning points of the curve.[3]
Verified working — step 1
Turning points occur where dydx = 0.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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