Thread: 3D Force Vectors

I am not sure if this is the appropriate place to post this. I am attaching an image of the problem. I have completed most of the work but I am down to finding F3 and the angles.I have also attached a copy of the work I have attempted. It is not perfect so please if you see any errors let me know. Also if you know how I can solve for F3 and the remaining angles all help is appreciated. I am doing it the way I thought but the answer isn't coming out to what the answer in the back of the book is. Thanks

btw the answers come out to be

F3= 9.58kN
alpha=87.0 degrees
Beta = 143 degrees
gamma = 53.1 degrees