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## Homework Statement

The x and y coordinate direction angles of a vector are 50 and 105 degrees, respectively. If the z component of the vector points in the negative z direction, what is the z coordinate direction angle?

## Homework Equations

## The Attempt at a Solution

I was going to try using cos^-1(z comp/magnitude) but since I'm not given a specific vector, that wouldn't work..

Can someone kind of explain how to go about solving this? I feel like it's easy and I'm making it complicated.

Much appreciated!