In navigation, a bearing describes a direction as heading north or south, and deflected some number of degrees toward the east or west. For example a bearing of N 10" E means an angle of 10 from the positive Y-axis (North) towards the right hand side (East or positive X-axis). An airplane travels at a fixed altitude with a speed of 600 kms per hour with bearing N 30 W. After 30 minutes, the plane encounters a wind with velocity of 60 kms per hour in direction N 60 E. The plane travelled a further 30 minutes in the wind. a) Draw three diagrams depicting the velocity vector of the plane before encountering the wind, the velocity vector of the wind, and the velocity vector of the plane after encountering the wind. b) What are the velocities of the plane before and after encountering the wind? (Keep your answers in exact form). c) What is the position of the airplane after one hour, measured in relation to its starting location? (Keep your answer in exact form)