Chapter$3$: Problem$14$

A hiker starts at his camp and moves the following distances while exploring his surroundings: $75\mathrm{.}0$ m north, $250$ m east, $125$ m at an angle $30$ nortin of east, and $150$ m south.

$($a$)$ Find the resultant displacement from camp $($take east as $+x$ and North as $+y)$

$($b$)$ Would changes in the order in which the hiker makes the given displacements alter his final position?