17) An airplane is heading due north at an airspeed of 600 km/hr, but there is a wind blowing at a 135° angle at 10 km/hr.
(1 pts) a) Find the $<x, y>$ position vector for the plane.
(2 pts) b) Find the $<x, y>$ position vector for the wind.
(1 pts) c) As the plane is traveling the wind is going to push the plane off course. Find the $<x,y >$ resultant vector that represents the plane's actual path.
(4 pts) d) Use your answer from part (c) to find the actual speed and direction of the plane in the wind.