ECZ 2021 · O-Level Paper 2 · Question 4 — Vectors In Two Dimensions
Question from ECZ 2021 · O-Level Paper 2 · Question 4
(a) Solve the equation 2x2 - 13x + 14 = 0, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Use the formula with a = 2, b = -13, c = 14.(b) In the diagram below, OA = 4a, OB = 3b, M is the midpoint of AB and OB = 3BD. Express in terms of a and/or b
(b(i)) AB,[1]
Verified working — step 1
Head minus tail: AB = …(b(ii)) OM,[1]
Verified working — step 1
M is the midpoint of AB, so OM = OA + (12)AB.(b(iii)) AD,[1]
Verified working — step 1
OB = 3BD, so BD = (13)OB = b, and OD = OB + BD = 3b + b = …(b(iv)) MD.[2]
Verified working — step 1
MD = OD - OM = 4b - (2a + (32)b)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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