Question: QUESTION 2 a) Given the vectors a = 3i -4j+ 3k and b =7i+ 3j -3k. i. Show that a and b are orthogonal. ii.

QUESTION 2 a) Given the vectors a = 3i -4j+ 3k and b =7i+ 3j -3k. i. Show that a and b are orthogonal. ii. Compute a vector that is perpendicular to both a and b (6 marks) b) Find the volume of the parallelepiped with adjacent edges AB, AC and AD , where A(2,1,3), B(0,1,-6), C(5,6,2) and D(1,1,4) are points in space. (7 marks)

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