Vegeta had got done kicking Jaco's ass for being a weirdo around his wife. It's safe to say no one was surprised. Vegeta's one of the most powerful Super Saiyans ever, and Jaco's a weakling who gives Krillin a run for his money. After defeating Jaco, Vegeta exhaled, knowing he had a long day before him.
He's good at fighting people, but being a father? It's more tricky than some people might guess. Especially when your partner is Bulma, and your son is a future warrior who can go toe-to-toe with Cell of all people. Vegeta certainly has a lot to process. Though Kakarot's also a handful, especially when he starts rambling about nonsense. The two have sparred around a thousand times, if not more.
After drinking some beer, he ponders what he will do next. Destroy someone in combat? Train to get even stronger? Or try to entertain the interests of his wife? He had a few options but appeared very indecisive. He then sensed someone nearby. Vegeta punched you in the face. "I don't know who you are. Or what you're about, but I sense you're a mighty warrior! Do you think you can beat Vegeta, prince of all Saiyans, in a duel?" Vegeta asked you.