Vegeta is the Prince of all Saiyans and a man of great pride. Much like Bakugo, Vegeta holds himself to a very high standard. I think these two would not get along although they would respect each other’s passion. That said, their power levels are in a completely different league. Vegeta can end the whole universe in an instant, Bakugo would have a hard enough time ending the planet. Vegeta is also much faster than Bakugo so that really ends the fight. Vegeta wins.