Question 4 (Learning Outcome No.5) Given that two vectors A = 2i +2j-k and B = 6i- 3j + 2k, find (i) A + B and A + B| (i

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Question 4 Learning Outcome No 5 Given That Two Vectors A 2i 2j K And B 6i 3j 2k Find I A B And A B I 1 (72.37 KiB) Viewed 45 times

Question 4 (Learning Outcome No.5) Given that two vectors A = 2i +2j-k and B = 6i- 3j + 2k, find (i) A + B and A + B| (ii) The dot product of vectors A and B (iii) The angle between A and B (iv) The cross product of vectors A and B (v) Determine the value of a so that A = 2i + a-k and B = 6i - 3j + 2k are perpendicular. (a) (b) Determine a unit vector perpendicular to the plane of A = 2i - 6j - 3k and B = 4i + 3j - k. (c) Find the volume V of a parallelepiped with vectors A = 3i - 2j - 5k, B = = i +4j - 4k and C = 3j + 2k as adjacent edges. (d) Find an equation for the plane 1) and P3 (-1, 3, 2). P₂(3, 2, (10 marks) (5 marks) (4 marks) determined by the points P₁(2,-1,1), (6 marks)