Question

A hiker starts at his camp and moves the following distances while exploring his surroundings: 70.0m north, 2.75 x 10^2m east, 130m at an angle 30.0 degrees north of east, and 1.50 x 10^2m south.
a.) find his resultant displacement from camp. (take east as the positive x-direction and north as the positive y-direction)

b.) would changes in the order in which the hiker makes the given displacements alter his final position?

Answer 1

b) the order does not matter. It's simple vector addition, which is commutative.

a) The displacements for each section of the trip are:

(0,70)
(275,0)
(113,65)
(0,-150)
add them up to get (388,-20)