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o Put a box around your nal answer. Question 1 /6 marks 3.}, 3, and Z) are 2-dimensional vectors dened in R2 13', i, and i" are 3-dimensional vectors dened in R3 State if the following results in a quantity that is SCALAR, VECTOR, or MEANINGLESS. Give a concise reason for your answer. S, V, or M? Reason Question 2 Given 3' : (1, 3, 5) and 3 :(5,2, 1) z :1) Determine the angle between E) and E' / 3 marks b) Determine the scalar projection of 3) onto 3 / 3 marks 0) Determine the vector projection of ? onto E) / 3 marks Question 3 / 4 marks Calculate the area of the triangle formed by the following two vectors. 3' = (1, 3, 4)de = (1, 3, 0): Question 4 Giventwovectors 3 = (1, 2, 1) and 3 = (4, 21:: + 1, k) : a) 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 /4 marks A force of 120 N is applied at an angle of 75 to the end of a 25 cm wrench. Calculate the torque. Question 7 14 marks 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? 50