Never. :(
yes he can and so can broly and vegeta
Only in the the video games
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
He ascends past it. He might be able to, but there is no reason to since it uses a lot of kai (which may be why he can't become one) and he is already a Super Saiyan 4.
the potara earings
There are several forms of Super Saiyan, most notably the Super Saiyan 2 and Super Saiyan 3 forms. As shown by Cabba's Super Saiyan transformation during his match with Vegeta in the Tournament of Destroyers etc
no. but he goes super saiyan 4 in dragon ball gt
Episode 230 "Super Saiyan 3"
for one there is no such thing as ssj3 vegeta but if he did he will totally be stronger than goku
There is no super saiyan 4, its only until super saiyan 3 (Broly,Vegeta,Goku and Gotenks). There are only characters of Dragon Ball Z Kai, not Dragon Ball GT.
dragon ball z raging blast
Cell,Frieza and Evil Buu (super buu)Goku(normal),Picoolo and Vegeta(normal)Goku(Super),Gohan(Teen),Gotenks(Super Saiyan 3)Vegeta(Super),Trunks(Super) and Gotenks(Super Saiyan 3)