The second form is missing a question mark so should be:

Êtes-vous beau/belle ?

i.e.

Are you handsome?

and cannot be but a question, the first one is just a statement (or a lazy/casual style question).

You are handsome[?]

In formal language, affirmations have subject – verb – object complements order and yes/no questions have verb – subject – object complements order. So,

• Vous êtes beau is an affirmation.

• Êtes-vous beau ? is a yes/no question.

  (If the subject is not already a pronoun, it comes first and a pronoun is added after the verb to form questions. E.g. Pierre est-il beau ?)

In casual language you’ll find two more ways to ask a question:

• Est-ce que vous êtes beau ?

  Here, the subject–verb inversion is limited (internal) to the universal “Est-ce que” question introducer.

• Vous êtes beau ? …with the appropriate intonation.

  In this case only the intonation (or the question mark in writing) allows one to understand it’s a question.