Mathematics (AS & A Level) · May / June 2018 · Paper 12 · Question 5

O A B C D i k j The diagram shows a three-dimensional shape. The base OAB is a horizontal triangle in which angle AOB is 90Å. The side OBCD is a rectangle and the side OAD lies in a vertical plane. Unit vectors i and j are parallel to OA and OB respectively and the unit vector k is vertical. The position vectors of A, B and D are given by −−→ OA = 8i, −−→ OB = 5j and −−→ OD = 2i + 4k.

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