The diagram shows a solid cyclinder standing ona horizontal circular base, centre O and radius 4 units. The line BA is a diameter and the radius OC is at 90 degrees to OA. Points O', A', B' and C' lie on the upper surface of the cyclinder such that OO', AA', BB' and CC' are all verticle and of length 12 untis. The mid-point of BB' is M.

Unit vectors i, j, and k are parallel to OA, OC, and OO' respectively.

(i) Express each of the vectors MO and MC' in terms of i,j and k.

Question

The diagram shows a solid cyclinder standing ona  horizontal circular base, centre O and radius 4 units. The line BA is a diameter and the radius OC is at 90 degrees to OA. Points O', A', B' and C' lie on the upper surface of the cyclinder such that OO', AA', BB' and CC' are all verticle and of length 12 untis. The mid-point of BB' is M.

Unit vectors i, j, and k are parallel to OA, OC, and OO' respectively.

(i) Express each of the vectors MO and MC' in terms of i,j and k.

anonymous · Answer

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