How to Find the Components of TCA in a 3D Force System?

[camino]

Homework Statement

http://img196.imageshack.us/img196/3227/problem2d.jpg

Homework Equations

The Attempt at a Solution

So far I found T_CE and T_CD, but I am not sure how to find the components for T_CA.

T_CEforce vector = 0i + 0.3685T_CEj - 0.9296T_CEk

T_CDforce vector = -0.5012T_CDi + 0j + 0.8653T_CDk

T_CAforce vector = ?

I'm not sure how to get the force vector components for T_CA from the figure. Can anyone help?

 

[Q_Goest]

The crate produces a force down which must be opposed by the sum of vertical components of T_CA and T_BA. Also, the horizontal components of T_CA and T_BA must be equal in order for them to be in equilibrium.

You should be able to write out two equations and solve for the two unknowns.