Mathematics (AS & A Level) · Oct / Nov 2019 · Paper 12 · Question 7

j i k O A B C D E F G Q P The diagram shows a three-dimensional shape OABCDEFG. The base OABC and the upper surface DEFG are identical horizontal rectangles. The parallelograms OAED and CBFG both lie in vertical planes. Points P and Q are the mid-points of OD and GF respectively. Unit vectors i and j are parallel to −−→ OA and −−→ OC respectively and the unit vector k is vertically upwards. The position vectors of A, C and D are given by −−→ OA = 6i, −−→ OC = 8j and −−→ OD = 2i + 10k.

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