Using a specially designed golf flag, a golfer finds that the wind is blowing through the course at a speed of 12 miles per hour in the direction N40\(^{\circ}\) W Express the wind velocity in vector form, rounded to two decimal places.

A boat traels in the direction S18\(^{\circ}\)E at a speed of 15 miles per hour. It encourters a wind blowing north to south at a speed of 10 miles per hour. Find the resulting speed and direction of the boat.