PLEASE HURRY Draw vector diagrams based on the given scenarios, and solve the problems involving vectors.
a) Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10 miles 15° south of east to go to Anissa’s house. How far away and in what direction is Karina’s house from Anissa’s house? Draw a diagram and show your work to justify your answer. Round the distance to the nearest hundredth and the direction to the nearest degree. (5 points)

b) An airplane is flying at a constant speed of 500 mph at a bearing of 45° north of west. A 40 mph wind is blowing due south. What are the plane's actual speed and direction? Draw a diagram and show your work to justify your answer. Round the speed to the nearest tenth and the direction to the nearest degree.

c) A canoe team leaves the dock at a bearing of 25° south of east and paddles at a constant speed of 10 mph. There is a 2 mph current moving 80° west of south. What is the canoe’s actual speed and direction? Draw a diagram and show your work to justify your answer. Round the distance to the nearest hundredth and the direction to the nearest degree.