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Dragon Ball Z (from Dragon Ball Wiki)
Dragon Ball Z follows the adventures of the adult Goku who, along with his companions, defends the earth against an assortment of villains ranging from intergalactic space fighters and conquerors, unnaturally powerful androids and near indestructible magical creatures. While the original Dragon Ball anime followed Goku through childhood into adulthood, Dragon Ball Z is a continuation of his adulthood life, but at the same time parallels the maturation of his son, Gohan, as well as other characters from Dragon Ball and more. The separation between the series is also significant as the latter series takes on a more dramatic and serious tone. The anime also features characters, situations and back-stories not present in the original manga. 

Vegeta, more specifically Vegeta IV, recognized as Prince Vegeta, is the prince of the fallen Saiyan race and the husband of Bulma, the father of Trunks and Bulla, the eldest son of King Vegeta, as well as one of the main characters of the Dragon Ball series.
Vegeta's strong character development has received high praise and is regarded as the biggest in the series. He initially debuted as the main antagonist of the Vegeta Saga but progressed into a more anti-heroic tritagonist role for the rest of Dragon Ball Z. Since the Majin Buu Saga and going into Dragon Ball Super, Vegeta has been the main deuteragonist/secondary protagonist behind Goku.