No it was just a brain fart, I somehow thought you were implying the gender of people the people in question belong to. Vaši is the same if the you is men or women. But you obviously asked for the grammatical gender of the word "lidé".
The hints give hledat -- the infinitive? From this and other passing instances, I'm thinking it would be quite useful if the infinitive construct were introduced, formally, rather earlier in the course. Thanks for considering.