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

[ur5pointos2sl]

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.

 

[ur5pointos2sl]

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