ECZ 2017 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions
Question from ECZ 2017 · GCE Paper 2 · Question 6
(a) In the diagram below, OABC is a parallelogram in which OA = a and AB = 2b. OB and AC intersect at D. E is the midpoint of CD. Express in terms of a and/or b.

(a(i)) OB,[1]
Verified working — step 1
OB is the diagonal from O to B.(a(ii)) OE,[2]
Verified working — step 1
OC = AB = 2b (opposite sides of a parallelogram).(a(iii)) CD.[2]
Verified working — step 1
The diagonals of a parallelogram bisect each other, so D is the midpoint of OB.(b) The program below is given in the form of a flow chart. Write a pseudo code corresponding to the flow chart program above.[5]

Verified working — step 1
START, then INPUT a, r.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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