problem 1) Suppose plane 1 flying from Atlantis is being pulled by plane 2 and plane 3 flying 35mph at an angle 50 degrees north of west, but the current is going southeast at a speed of 9mph, and the wind is blowing in the plain at 58 degrees north of east at 8mph.

(a )Write the three velocities as component vectors and draw a picture. Round each component to four decimal places.

(b) What is the vector of the plane total progress?

(c) How fast is the plane moving, relative to a stationary observer? Round to two decimal places.

(d)At what angle is the plane traveling? Round to two decimal places. Give the angle in terms of the north of east, south of east, north or west, or south of west.