Midcow2 has given you some good details. Here's a general picture: You should be able to connect all of your sources (cable box, DVD player, and VCR) to the RX-V663 receiver, and then you would have a single video connection running from the RX-V663 to your TV. With that, you would select the source on the RX-V663 to listen to the source through your receiver and watch the source on your TV.
We can give you better recommendations on the best way to hook things up if you tell us the manufacturer and model number for each of the following: cable box, DVD player, VCR, and TV.