. Let u (2, 0, 2) and v = = (2, 1, 2). (a) (6 marks)...

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. Let u (2, 0, 2) and v = = (2, 1, 2). (a) (6 marks) Find the unit vector parallel to u and the unit vector parallel to v. (b) (3 marks) Find a vector with the same length as u, in the same direction as v. (a) (5 marks) Find the angle between the vectors u = (1,2,3), v = , v = (1, -1, 3). (b) (3 marks) Is the vector x = (1, 2, -1) orthogonal to y = (3, 1,5)? Why? . Let u (2, 0, 2) and v = = (2, 1, 2). (a) (6 marks) Find the unit vector parallel to u and the unit vector parallel to v. (b) (3 marks) Find a vector with the same length as u, in the same direction as v. (a) (5 marks) Find the angle between the vectors u = (1,2,3), v = , v = (1, -1, 3). (b) (3 marks) Is the vector x = (1, 2, -1) orthogonal to y = (3, 1,5)? Why?