Definite (adjective) or definitely (adverb) means certain, without a single doubt:
We have definite plans to move to New York.
(it is 100% certain that we will move there)
I'm definitely going to the party.
(it is 100% certain that I am going)
This $50 jacket is definitely overpriced. I saw the exact same jacket for $30 in another store.
(it is completely certain that $50 is too much)
The word definitively (adverb) or definitive (adjective) means that something decides an issue, or provides a clear and firm answer/solution to a particular matter:
The evidence from the DNA test definitively proved that Ryan was not the murderer.
The company had been in financial trouble for years, but its definitive end came when it declared bankruptcy in March.