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.

Diagram for part (a)

(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]

Diagram for part (b)

Verified working — step 1

START, then INPUT a, r.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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