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)

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