A plane is flying due South at 200 miles per hour when wind starts blowing, and they realize the plane is now flying with velocity b = 40 i − 170 j .

Question

Sketch the initial velocity vector a the plane is moving (not to scale), the resulting velocity vector b the plane moves as a result of the wind, as well as the wind velocity vector w.

Find the component form of w, the speed of the wind, and the angle the wind vector makes with the South direction.

Answer 1