different between definitely vs necessarily

English

definite +? -ly

definitely (comparative more definitely, superlative most definitely)

Without question and beyond doubt.
She said she wasn't coming, definitely.
In a definite manner; decisively.
- 1912, Joseph Conrad, A Personal Record Chapter IV
  It was really impossible on board that ship to get away definitely from Almayer
- 1916, Claud Field (translator), Nikolai Gogol, The Nose, (1836)
  And the Nose definitely turned away.
- 2003, Herbert Mitgang, Once Upon a Time in New York (page 187)
  And these Elders were men of good standing in that community, and they swore definitely before the counsel that this lady committed this impropriety, and there was nobody to gainsay that, except the lady herself, […]

necessary +? -ly

necessarily (comparative more necessarily, superlative most necessarily)

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