Question

e.g. An Airplane is traveling at a fixed altitude with a negligible
wind factor. The airplane is headed N 30o W at a speed of
500 miles per hour. As the airplane reaches a certain point, it
encounters a wind with a velocity of 70 miles per hour in the
direction N 45o E. What are the resultant speed and direction
of the airplane?


e.g. Find the four complex roots of unity
and plot them.