I was getting a ps3 slim and I needed a tv for it. It has hdmi and VGA and I seen on eBay there was a cable hdmi to VGA. And I was wondering will this cable worked I connect the hdmi part to the ps3 slim and connect the VGA to the back of the tv? Will it work? And will it be full hd? It’s only a 19inch tv and it’s hd thanks.