3D statics - Symbolic vector/tensor solving

Hello. 

I'm fairly new to Mathcad, but i hope someone can assist me with this:

I'm trying to solve some 3D statics, or make a template for it. At first i'm building 6 equations with 6 unknowns, I then want to solve this for each variable and afterwards put in the values. I've done it this way around in Maple, but i like Mathcad, and the price 😉

I have attached my crude attempt just to give a better understanding of what i am trying to do.

 Hope someone can help me or point me in the right direction.

B/R