3) The magnitude of a velocity vector is speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/hr. An airplane is flying in the direction N60°E at an air speed of 250 km/hr. (in still air). The true course of the airplane is the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the ground speed of the airplane and the true course of the airplane.

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