Vector Addition and Displacement Magnitude in 3D Space

AI Thread Summary
The discussion focuses on calculating the displacement vector from a base camp to a mountain summit, which is 2450m high and 4580m horizontally located at an angle of 32.4 degrees west of north. Participants express confusion about correctly visualizing the 3D coordinate system, particularly the placement of the z-axis and how to represent the height in relation to the horizontal displacement. Clarifications are provided that the z-axis is vertical, with the height of 2450m positioned between the x and y axes. The conversation highlights the challenges of visualizing 3D vectors and the importance of accurately drawing diagrams for better understanding. Overall, the thread emphasizes the complexities of vector addition and displacement in three-dimensional space.
jared69sib
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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...
 
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hi jared69sib! :smile:

the z axis is up,

and the 2450 is between the x and y axes :wink:
 
tiny-tim said:
hi jared69sib! :smile:

the z axis is up,

and the 2450 is between the x and y axes :wink:

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

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