What is vegan exactly?What kind of shampoo and conditioner are good to use for died hair?

Ik vegan is no meat or gelatin[e] but what are other "meat" words to watch out for?and i also know it's nothing made from animals aka cheese milk.is bread good?wheat bread?what about rago or something like that used for spaghetti.and what are some shampoos and conditioners non animal tested?is there any for hair that was died red to keep red?