A quick question about the PS3

I'm not super technically savvy, so I am not clear on this issue entirely. The question is simply this: can you run the PS3 using a VGA box connected to a computer moniter screen like you can with PS2/one?

Yes yes I know... I speak heresy to even suggest this. Most of you all use HDTV's... I know. But I am too poor to afford to buy myself a nice TV, at least for the time being.

Thanks