The above should be correct, but on some TV's just plugging in and turning the TV to the correct input still gives you a black screen. Does it every time i go on vacation to visit family and use their TV, even though they are both the same brand (Samsung)
In that case i always had to reset the settings on the PS3:
Turn the PS# off
press and hold the start button for about 5-6 seconds until you hear the second set of beeps.
Then go into the display setting and make sure everything is set up correctly. If it is then you will see a picture on the TV (at first you should as it will reset your settings to something basic)