Vegeta could pass super saiyan 2 but he never trained to like Goku did. He used the Bluts Wave to become a great ape and then golden ape because he needs the artificial power because he lost his tail.
vegeta didn't achieve super saiyan 3 he skipped it and went super saiyan 4 using blux waves
but you can play as ss3 vegeta in the Video Games
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yes he can and so can broly and vegeta
Pan is 3/4 Human 1/4 Saiyan, BUT she cannot go super saiyan because the creator of the show is sexist! Goku jr. and Vegeta jr. could go super saiyan but not any of the women.
The only games Vegeta can go SSJ3 is in Dragon Ball Raging Blast 1 and 2 and a hack someone made called Dragon Ball Budokai AF a hack of Budokai 3
Vegeta is stronger in the real final battle vegeta passes super saiyan 4 and gos super saiyan 5 (phyco saiyan) and vegeta gets to it by himself but goku nearly kills himself to get to it by absorbing a spirit bomb to get to it and vegeta wins the fight and kills goku and there punches are so strong that they explode planets but when the battle is done vegeta uses the dragon balls 3 wishes 1.brings back all the planets they destroyed and everyone on them 2.bring goku back to life 3.brings back planet vegeta and that's really all vegeta is the strongest
Vegeta is actually Stronger, Its true that Gohan hit Super Saiyan 2 before anyone but that doesn't mean he is stronger than vegeta. Vegeta hit Super Saiyan 2 after the Cell games but he achieved it before becoming Majin Vegeta, During which he said to Goku "At least your stronger than your son was against Cell." which means Goku was stronger than Gohan and that means Vegeta was just as powerful also it is stated in the Dragon Ball Z series that Vegeta was the most powerful, second only to Goku. As for Gohan hitting Super Saiyan 4, he cannot. But Vegeta can't transform into a Super Saiyan 4 at will. So his transformations are actually up to Super Saiyan 2. But as for Gohan, the Elder Kai releases his deepest hidden powers, which make Gohan even stronger than a Super Saiyan 3. So actually Gohan is the stronger one.