WAEC Mathematics 2017 Theory — Question 25

Question 25 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.

13(b) In ΔABC, AB=(-4;6) and AC=(3;-8). If P is the midpoint of AB, express CP as a column vector.

Model answer

AP = (1/2)AB = (1/2)(-4;6) = (-2;3). From the diagram, vectorially, CP = CA+AP, where CA=-AC=-(3;-8)=(-3;8). CP = AP-AC = (-2;3)-(3;-8) = (-5;11).

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