Solve 3D Vector Forces: F3, Alpha, Beta, Gamma

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The discussion centers on solving a 3D vector forces problem, specifically calculating F3, Alpha, Beta, and Gamma. The correct values are F3 = 9.58 kN, Alpha = 15.5 degrees, Beta = 143 degrees, and Gamma = 53.1 degrees. The user identified a mistake in their calculations, where they mistakenly used -10 instead of -1, but confirmed that this error did not affect the final answers. The user also realized that some directional components were negative, which contributed to their confusion.

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ur5pointos2sl
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I have attached a copy of the problem and an attempt at a solution. Any help would be greatly appreciated. I know the answers I need to get to but I cannot seem to figure out what I am doing wrong. Thanks

btw the answers are:

F3 = 9.58 kN
Alpha= 15.5 degrees
Beta = 143 degrees
Gamma = 53.1 degrees

I just noticed at the bottom of my work when I was computing the magnitude I put -10 instead of -1. Either way it does not affect the answers that I get.
 

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Ok so I figured out what my problem was..I had forgot that one or two of the directions were negative. Thanks anyways.
 

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