Sounds like your red CRT isn't on, or the video driver circuit for the red tube isn't working correctly. Could also be that if you're using RGB input cables to your TV, the red cable has worked loose at the cable/satellite box or TV end.
Red, Green and Blue.
Projector TV the answer is yes.
If you have a projector TV then it would depend on it's connections. A PS3 will connect with an HDMI to a HDTV projector style TV with a HDMI input with the single cable. If you are not talking about a Projector style TV this may not be possible If your projector has an HDMI input and HDMI passthrough, it would be better to go from the ps3 to the projector and then pass through to the tv.
Red, blue, and green.
How do i clean a projector television screen safely
The third primary colour of light besides red and blue is green. This is why colour televisions contain red, blue and green pixels.
You just plug you tv in to the poroject with A/V cables (red, yellow, white) also called composite, Component HD (red, green, blue) or Svideo. You can get cable coax to svideo conectors if needed. Once connected turn on tv source be it cable box direct cable or antena (?) then turn on your projector and go through the input selection until your tv shows up on the Screen. Of course if you know what input method you have your TV pluged into just select that. If it doesn't show up check cables and repeat.
as long as the projector is TV compatable nothing
This probably means that the projectors for the corresponding colors are not properly alligned. You probably need professional assistance for this one 2
If you TV has output connection, then you can get cables to connect your TV to your projector. For example I have a TV with RCA video and audio outputs, I use 3 RCA cables and then I connect them to my RCA inputs into my projector. My projector has a small speaker, so most of the time I just connect the video cable.
Projector t.v.s are best suspended from the ceiling.
All colours in a TV screen are made by combining the red, green and blue identified in the original scene.and recreating those light levels on the TV screen with various phosphors. SO the answer id the same for any colour you ask about - red, green and blue at various levels