vicinity vs neck of the woods

vicinity and neck of the woods both are nouns.

Word	Noun	Adjective	Verb	Adverb
vicinity	Yes	No	No	No
neck of the woods	Yes	No	No	No

As nouns, vicinity and neck of the woods are synonyms defined as:

Other synonyms of vicinity include locality, neighborhood, neighbourhood.

vicinity (noun)	neck of the woods (noun)
a surrounding or nearby region	a surrounding or nearby region