In my own opinion believe and faith are the same if you are talking about a person for example; "I have faith in you", in other words you are saying that "you believe in him/her" for some reasons but when it comes to spiritual it is not the same because you are referring To GOD for example; "I have a strong faith in GOD" and you are saying that "you have a strong belief in GOD". Remember belief and believe is not the same.