An airplane flies at 400 mph with a direction of 120 relative to the air. The plane experiences a wind that blows 40 mph with a direction of 50. Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points) Part B: Find the sum of the vectors. Show all necessary calculations. (2 points) Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations. (7 points)