Ok,I´m going to explain better.
Look Like: I think this one refers to Physical aspect.For example: You look like Sean Connery.
Like: It must be beside a verb. You are like Sean Connery.
Seem: I´ve always heard phrases as "You seem happy" so I normally associate it with "frame of mind".
Please,I wish have a clearer idea so if Someone could explain me it.
Thanks.