3 dimensional torque from angular velocity

Hello,

I am currently making a video game and have run into a bit of a physics problem. I have taken two semesters of physics in college (wasn't too great at it) so I know how to do simple things. I am currently trying to turn an angular velocity into a 3D torque. The angle is a Euler vector ex. (X,Y,Z) using a XYZ order, and I need the equivalent torque in 3 space. I only need the torque direction as the magnitude isn't that important. I have been trying to figure it out but with no luck.

Thanks for any help