As a model for infinitely unique human characteristics that can be plotted along several different dimensions, the vector representation makes a lot of sense.
But as with anything that models reality, some of the nuance is lost because we can't feasibly infinitely detail the model for it to still be a useful representation.
So no, you're not crazy for framing gender as a vector space, you're just a huge nerd. ๐
(Edit: Now complete the assignment! [glares at you from a distance])
More bitches? We definitely have a problem!