3.3 Exercise 13

You fly $\text{32} . \text{0 km}$ in a straight line in still air in the direction $35.0º$ south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction $45.0º$ south of west and then in a direction $45.0º$ west of north. These are the components of the displacement along a different set of axes—one rotated $45º$.