I don't actually have a playstation component cable
neither do I
I took a standard RGB/Scart playstation cable and Added
three extra connectors (phono sockets), it was actually a ps1 cable since I already had it and they are just the same as the official ps2 cables. (The only real difference between RGB/Scart and component is where the sync signal is! )
However since the projector can only accept a vga connection for its component input I don't think I can actually use one. The only component to vga adapters I have seen have been expensive.
You don't need any adapters, all you need is the correct cable ... 15pin d-sub on one end and 3 phono connecters on the other as shown on page 15 of your pj manual. This then plugs into the phono sockets that I've told you to add to your playstation scart cable and bob's your mother's brother.
Heck you could make one, see http://www.interfacebus.com/Design_XGA_PinOut.html
for the pinout of a 15pin d-sub, I bet you only need to connect up pins 1,2,3,6,7,8 cos the sync signal is mixed with the green signal with component.
Your making it more complicated than it needs to be, your ps2 can output component signals and your pj can accept component signals it's just a matter of the right cables between the two. Remember KIS (Keep It Simple) less room for problems and/or mistakes.
I'm happy to help, I only know all this because I was too bloody minded/tight to buy converter boxes that I was sure I could do without when I wanted to connect my ps2 to my pj, so I spent an evening reading up on the internet on video standards & connecters etc until I'd worked out how to connect the two together.