Provide complete solutions for each of the following questions and submit your work to the dropbox. 1. A bee flies from flower to flower. If it leaves the hive and travels 210 m [N32E] and then 37 m [S51.W], how far and in what direction is the bee from its hive? 2. A 100-N force is applied to the end of a 50-cm wrench and makes an angle of 45 with the handle of the wrench. a) What is the torque on a bolt at the other end of the wrench? b) What is the maximum torque that can be exerted by a 100-N force on this wrench and how can it be achieved? 3. An air ambulance is traveling from Barrie to Toronto. Toronto is located 90 km [S5. E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's airspeed is 375 km/h, what direction must the pilot fly to make it to Toronto? 4. State whether or not the following statements are true. Justify your reasoning. a. a . (b+c)= a . bta . c bax ( b+c)= axb+axc cax( b . c ) = axb . axc 5. Find the volume of a parallelepiped with 3 edges defined by a = (-2, 0, 4), b = (5, 9, 0) and ~ = (0, 3, -7). 6. A traffic sign is hanging from two wires. If the weight of the sign is 35 N, what are the tensions in the two wires as shown below? 56 NY 35 N