ECZ 2018 · O-Level Paper 2 · Question 6 — Vectors In Two Dimensions
In the quadrilateral ABCD, AB = a, AD = b, BC = 2b and AE : AC = 1 : 3.
(a(i)(a)) In the quadrilateral ABCD, AB = a, AD = b, BC = 2b and AE : AC = 1 : 3. Find AE in terms of a andorb.[1]
Verified working — step 1
AC = AB + BC = …(a(i)(b)) Find BE in terms of a andorb.[1]
Verified working — step 1
BE = AE - AB = …(a(i)(c)) Find BD in terms of a andorb.[1]
Verified working — step 1
BD = AD - AB = …(a(ii)) Hence or otherwise, show that the points B, E and D are collinear.[2]
Verified working — step 1
BE = (23)(b - a) and BD = b - a, so BE = …(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
Terminals (StartStop) are drawn as rounded shapes, the input and output boxes as parallelogram…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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question