What song does Vin Diesel play in the first race fast and furious?
In the first Fast and Furious movie, Vin Diesel (playing Dominic Toretto) doesn't actually play a song. He's the one who
challenges the other racers to a song challenge,
asking them to "pick a song".
The song that's played in the background of that scene is "The Fast and the Furious" by The Fast and the Furious soundtrack, specifically the "Fast and Furious" theme by DJ Felli Fel. It's an instrumental song that acts as the movie's main theme music.