Chapter 3, Problem 3.34E

The nose of an ultralight plane is pointed due south, and its airspeed indicator shows 35 m/s. The plane is in a 10-m/s wind blowing toward the southwest relative to the earth, (a) In a vector addition diagram, show the relationship of ${\stackrel{\to }{\upsilon }}_{\text{P/E}}$(the velocity of the plane relative to the earth) to the two given vectors, (b) Let x be east and y be north, and find the components of ${\stackrel{\to }{\upsilon }}_{\text{P/E}}$. c) Find the magnitude and direction of ${\stackrel{\to }{\upsilon }}_{\text{P/E}}$.