4:00 PM Tue Jun 21 Question 6 /4 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 /4 marks ) James pulls a sled for 30 m with a force of F 60N using a rope. The rope makes an angle of 50 to the ground. How much work . does James do by pulling the sled? 0" : __________ Question 1 / 6 marks a, b, and care 2-dimensional vectors defined in R? p, q, and r are 3-dimensional vectors defined in " 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 a | 3pQuestion 2 Given v = (1, - 3, 5) and w = (5, 2, 1) : a) Determine the angle between v and w / 3 marks b) Determine the scalar projection of v onto w 1 3 marks c) Determine the vector projection of v onto w 1 3 marks Question 3 / 4 marks Calculate the area of the triangle formed by the following two vectors. g = (1, 3, - 2) and h = (-1, 3, 0) : Question 4 Given two vectors a = (1, 2, 1) and b = (4, 2k + 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 15 marks A 30 kg mass is suspended from a ceiling by two cords. The cords make angles of 450 and 70 with a perpendicular drawn to the ceiling, as shown. 450 Determine the tension in each cord. (Hint: the system is in equilibrium: the horizontal & vertical components must balance.) 30 kg