As you all know Vegeta is is a Saiyan Prince, son of King Vegeta, and one the last remaining Saiyan. Vegeta is classified as an Elite Class Saiyan.He had a very high power level since birth.He managed to overcome a planet on his own.Vegeta worked under Freezer after Planet Vegeta was destroyed. As a Saiyan, Vegeta hated working under someone else.After Radeitz death on earth Vegeta found out that Dragonball exist on earth. He and Nacpa(his henchmen) went to earth to get hold of the Dragonball and also with a mission to demolish earth too. Vegeta proudly, thought Earth is a weak planet.He was wrong..Songoku fought him and with some other earthlings, they managed to beat him. After been beaten the shit out of him, Vegeta went back to base, to heal himself and then go to Planet Nameck to find the Dragonball. Vegeta wanted to have eternal life and swore to himself, when he gets it he will go back to earth and take revenge. Unfortunately Freezer also, at that time was hunting for the Dragonball. Freezer had the same wish as Vegeta.Vegeta  started to turn his back on Freezer and tried to find the Dragonball for himself. He hated Freezer even more when he found out that Freezer was the one who destroyed Planet Vegeta.Vegeta lost to Freezer (who was much more stronger) and died. He was then brought back to life by the Dragonball.Vegeta then knew that Songoku has reached the Super Saiyan level and became envious. Int the Androids saga Vegeta, well, uh, umm, got together with Bulma and they had a son named Trunks. He also managed to become a Super Saiyan after going through hard training.As you all know, in the Androids Saga, Mirai trunks came to this timeline. Vegeta started to get close with his what I might call Future son, when they had to go into the Spirit room to train together. When Mirai Trunks got killed but Cell,Vegeta got really angry, and this shows that this man also has a kind heart.Later on when Gohan managed to beat Cell, Vegeta said to himself that he would never fight again. Vegeta then broke his own promise when he got involved in the Majin Buu saga. Because of his undying will to beat Songoku, Vegeta Sacrificed his soul to Babidy.He did this because he wanted to have an evil heart again and a boost of energy. Vegeta died again  after exploding himself to kill Majin Buu. Vegeta was brought back to life by the Nameckian Dragonball. After been brought back to life Vegeta played a major role in the battle against Kid Buu. At that time he was the one made all the battle strategies. And all of this proves that Vegeta is worthy to become the prince of all Saiyans.