Question 1 [Marks 27] 1.1) Consider the vectors u = (3,-4,-1) and v = (0,5,2). Find u v and determine the angle between

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Question 1 Marks 27 1 1 Consider The Vectors U 3 4 1 And V 0 5 2 Find U V And Determine The Angle Between 1 (43.14 KiB) Viewed 44 times

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Question 1 [Marks 27] 1.1) Consider the vectors u = (3,-4,-1) and v = (0,5,2). Find u v and determine the angle between u and v. [4] 1.2) Determine if the three vectors u = (1,4,-7), v = (2,-1, 4) and w = (0, -9, 18) lie in the same plane or not. [6] 1.3) Determine if the line that passes through the point (0, -3, -8) and is parallel to the line given by x = 10 + 3t, y = 12t and z=-3-t passes through the xz-plane. If it does give the coordinates of the point. [9] 1.4) Determine the equation of the plane that contains the points P = (1, -2,0), Q = (3, 1, 4) and Q = (0,-1,2) [8]