Direct TV is hooked up to video one with HDMI to component video cable source is video one audio is coaxial digital cable.
mac mini is hooken up with dvi to component video cable. Source is DVD and audio is analog until my digital cable arrives.
Video out is component video out to RGB in on BENQ DLP projector


Please clarify the above because it is hard to decipher what is connected where and to what. In general, HDMI and the handshake is tricky. The other issue may be length of the HDMI cable. Also it seems the mini-Mac is not outputting a signal after being sensed by the PJ. Since the DTV box works woth the PJ I would strongly suspect the mini-Mac.