Mathematics (AS & A Level) · Oct / Nov 2021 · Paper 33 · Question 8

i k j O A B C D M N In the diagram, OABCD is a pyramid with vertex D. The horizontal base OABC is a square of side 4 units. The edge OD is vertical and OD = 4 units. The unit vectors i, j and k are parallel to OA, OC and OD respectively. The midpoint of AB is M and the point N on CD is such that DN = 3NC.

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