Vector's name is a mathematical term, represented by an arrow with both direction and magnitude. He uses this name because he commits crimes with both direction and magnitude.
Vector is most well-known for his heist of the Great Pyramid of Giza, which was replaced by a giant inflatable replica. In addition, his father is Mr. Perkins; the head of the evil bank.
Vector is a rich-spoiled brat and show-off who gets everything that he wants. Vector is highly intelligent but also cocky and has an extreme side of arrogance. However, Vector can also be childish; shown for his liking for cookies, especially "coconutties" inviting Agnes, Edith and Margo into his fortress when they arrived to sell them. Vector also had a tendency for sea life, keeping a pet shark in his home and inventing the squid launcher and the piranha gun. Unlike Gru, Vector had no qualms about kidnapping children and taking them as hostages; even after Gru gave him the moon, he refused to release Agnes, Edith and Margo, inciting an angry Gru to bring him a "world of pain" for reneging on the deal.
His relationship with his father is that of a spoiled little child. Like many rich families, parents think that by giving into every desire of their child that it makes up for their lack of support and true parental responsibilities. The lack of attention by the parent could help support Vector's clearly psychopathic tendencies. It is unclear however if Vector is a murderer. All things said he does appear to have anti-social personality disorder. Also, Vector's father is shown to a be a little cold towards him whenever something bad happens, such as the time when Mr. Perkins angrily pointed out that Gru reclaimed the shrink ray from Vector's lair and berated Vector for not even knowing it until it is too late.
Vector is never seen without his trademark orange jogging suit with a high villainous collar, which can apparently convert into a functional space suit capable of withstanding the rigors of space or a glider suit. This choice of clothing is often mistaken for pajamas by Agnes much to Vector's annoyance. Vector also sports a pudding-bowl haircut, large black glasses, brown eyes, and a sharp, hooked nose.