Scotch tape has a couple of problems: the mastic oozes out from under the splice & will cause adjacent layers of recording tape to stick together. Also, the spliced ends will slowly slip appart.
You should be able to obtain a video tape splicing kit. It will include special splicing tape and a special cutting block. Be extra careful not to accidentally introduce a twist into the recording tape as you splice it. This can be mind-boggling.
From my personal experience, a "perfect splice" with video tape, even using a kit, is virtually impossible. You will still get video streaks and audio interruption at the splice, and before and after the splice where you unavoidably handled the tape. So, I would only attempt to splice a video tape if it has something valuable and irreplaceable already on it. Otherwise, toss it.
EVB, February 2006