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Question 6 (12 marks) Consider the points A(2,1,1) , B(1, 2, 1) and C(1,1,2). a. Find the vectors u = AB and v = AC

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Question 6 (12 marks) Consider the points A(2,1,1) , B(1, 2, 1) and C(1,1,2). a. Find the vectors u = AB and v = AC . (2 marks) b. Find the scalar product u - v . (2 marks) c. Find the angle between u and v. (2 marks) d. Find the vector projection of u onto v, that is, proj u . (2 marks) e. Find the vector product uxv. (2 marks) f. Find the area of the triangle AABC. (2 marks)

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