Could Broly Beat Vegeta?

Unfortunately, Vegeta's level is defined below that of Broly and no matter how strong he is right now, he will end up getting crushed.

Is Broly more powerful than Vegeta?

In Legendary Super Saiyan form, Broly is more power than Super Saiyan Goku, Vegeta, Piccolo (post-Kami fusion), and Future Trunks. Broly is even able to laugh off a Super Kamehameha at point-blank range from Goku.

Who would win Vegeta or Broly?

Vegito would win because his base form alone appears stronger than SSJ2 and 3 Vegeta and Goku in a tag team and the fact that Vegito was the fusion of the two most powerful Z Fighters (Goku an Vegeta). On the other hand, Broly might win because his LSSJ form barely has any drawbacks and his power increases.