ECZ 2018 · O-Level Paper 2 · Question 6 — Vectors In Two Dimensions
Question from ECZ 2018 · O-Level Paper 2 · Question 6
(a) In the quadrilateral ABCD below, AB = a, AD = b, BC = 2b and AE : AC = 1 : 3.
(a(i)) Find in terms of a and/or b
(a(i)(a)) AE,[1]
Verified working — step 1
AC = AB + BC = a + 2b.(a(i)(b)) BE,[1]
Verified working — step 1
BE = AE - AB.(a(i)(c)) BD.[1]
Verified working — step 1
BD = …(a(ii)) Hence or otherwise, show that the points B, E and D are collinear.[2]
Verified working — step 1
From above, BE = (23)(b - a) and BD = b - a.(b) The program below is given in pseudo code. Start Enter x, y Let M = square root (x squared + y squared) IF M < 0 THEN display error message "M must be positive" ELSE END IF Display M Stop Draw the corresponding flow chart for the information given above.[5]
Verified working — step 1
Draw Start and Stop as rounded terminals.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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