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Question 2 Given 3' =(1, 3, 5)and 3 =(5,2,1): a) Determine the angle between E) and 17)) / 3 marks b) Determine the scalar projection of 3) onto 3 / 3 marks c) Determine the vector projection of ? onto 3 / 3 marks Question 3 / 4 marks Calculate the area of the triangle formed by the following two vectors. 3' = (1, 3, 2)and =(1,3,0): Question 4 Giventwovectors ? = (1, 2, 1) and B = (4, 21:: + 1, k) : 3) Determine the value of k that makes them perpendicular / 2 marks b) Determine the value of k that makes them collinear / 2 marks Question 5 A 30 kg mass is suspended from a ceiling by two cords. The cords make angles of 45 and 70" with a perpendicular drawn to the ceiling, as shown. Determine the tension in each cord. (Hint: the system is in equilibrium: the horizontal & vertical components must balance.) Question 6 l4 marks Aforce of 120 N is applied at an angle of 75\" to the end of a 25 cm wrench. Calculate the torque. Question 7 James pulls a sled for 30 m with a force of 60N using a rope. The rope makes an angle of 50 to the ground. How much work does James do by pulling the sled