Correct me if I'm wrong, you're gonna use a DVI to VGA adapter on what? You said your PC has VGA input? You must mean output right?
Supposedly,
PC -> VGA output
TV -> DVI input
DVI to VGA means you would convert the TV input to the PC output?
Adapters only work with digital(DVI) source to analog(VGA) destination. When doing the other way, you must have some sort of signal digitizer to do that.