# Magnitude in calculas

• Oct 2nd 2010, 05:44 PM
algabrr
Magnitude in calculas
Hey I dont know if i posted this in the wrong thread or something but here it goes:

Jane walks 400 metres due South, then 250 metres in the direction S85oW, and
finally 180 metres in the direction N20oE. Determine the magnitude and direction
of her resulting displacement, relative to her starting point.

Basically I have this question I am trying to solve, i cannot seem to find any tutorials that could help me.

Thank you
• Oct 2nd 2010, 07:23 PM
spruancejr
Attachment 19162
\$\displaystyle N 20^0 E\$ means that you are traveling \$\displaystyle 20^0\$ East of North.

1. Assume Jane starts at the origin.
2. Find the x and y components of each given vector.
3. Add all x and y components together. Now you have the x y coordinates of Jane's final location.
4.To find the magnitude: square the x and y component, add them together and take the square root.
5. To find the direction: you can make a triangle using the origin and Jane's final displacement.