Mechanics Statics: Vector Manipulations Problem

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This is just an entry level problem from the second day of class. It isn't really dealing with statics but with just vector manipulations. I have included a copy of the problem and a partial attempt. Any help would be appreciated.
 

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PhanthomJay said:
3d vectors can drive you insane! I think you did a real good job, except that F1z should be a minus 6, not +6. I might have missed something else, but your approach is excellent.

Thank you for your reply. While waiting on my attachments to get approved I actually have solved the problem. I did notice that +6 should've been -6 and also when summing the forces for F3 I needed -cos alpha and -cos gamma. Thanks again.