Solve. 1) A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58 is blowing at 20 mph. Find the bearing of the plane. 2) Starting at point A, a ship sails 57 km on a bearing of 221, then turns and sails 74 km on a bearing of 297. Find the distance of the ship from point A. 3) An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From Airport A, the plane is at an angle of 285 from the north and Airport B is at an angle of 65 from the north. Find the distance between the plane and Airport B to the nearest mile. Find the magnitude of the vector. RS = 12,8 4) Find the dot product for the given vectors. 5) u = 15,3 , v = 6, 7 Perform the indicated operation. 6)u = 5i + 2j, v = -2i - 6j, w = 4i - 3j; Find v - (u - w). 7) u = 5i + j, v = -12i - 4j; Find 5v - u. Find the angle between the given vectors, to the nearest tenth of a degree. 8) t = 2,5 , s = 3, 6 Convert to polar coordinates. Express the answer in radians, using the smallest possible positive angle. 9) ( 4, -4 3 )