Question: 4 (a) Given three vectors: a = 31 - j + 2k b = 21 - 3j + k C = 21 + j +

4 (a) Given three vectors: a = 31 - j + 2k b = 21 - 3j + k C = 21 + j + k (i) Find a x b. (3 marks) (ii) Find (a x b) . c. (3 marks) (iii) Show that (axb) . c = a . (bxc) (6 marks) (b) The work done by a force F in moving an object through a displacement 7 is given by F . r . Given F = 31 + 5j + 6k, and the object is moved from the point with coordinates (1, 3, 2) to the point (2, 6, 9). Find (i) the displacement vector F ; and (4 marks) (ii) the work done by the force F. (4 marks)

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