Question: 7. Given vectors A = (-4, 3,5), B = (1, 4,0) and C = (2, 2, 1), determine: a) projgA (2 marks) b) Angle between

7. Given vectors A = (-4, 3,5), B = (1, 4,0) and C = (2, 2, 1), determine: a) projgA (2 marks) b) Angle between B and C (2 marks) c) Volume of the parallelepiped formed by A, B and C. (3 marks) d) Area of triangle formed by A and B. (2 marks) 8. The span of a and b in IR3 is a plane. Briefly explain each solution. a. What do we know about a and b? (List two mathematical properties not given) (1 mark) b. What is the span of a, b and projab? (1 mark)

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