A plane heads on a bearing of 210* at 500 mph; the winds at the cruising altitude are 75 mph from the southwest to the north east.

-draw a figure that gives a visual representation of the problem
-write the vector u representing the velocity of the plane relative to the air and the vector v representing the velocity of the wind
-write vector w representing the velocity of the plane relative to the ground (the resultant vector)
-find the true speed and the bearing of the plane