Vector Addition and Displacement Magnitude in 3D Space

[jared69sib]

Homework Statement

The summit of a mountain, 2450m above the base camp, is measured on a map to be 4580m horizontally from the camp in a direction 32.4 degrees west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x-axis east, y-axis north, and z axis up.

Homework Equations

vector r = i + j + k

The Attempt at a Solution

I don't think I am drawing the diagram correctly. Not sure where to put z axis. I keep ending up with a triangle. x= 4580, y=2450, bottom angle 32.4...

 

[tiny-tim]

hi jared69sib!

the z axis is up,

and the 2450 is between the x and y axes

 

[jared69sib]

hi jared69sib!

the z axis is up,

and the 2450 is between the x and y axes

Thank you. It was hard to visualize for the very first time.