self-conceited vs vain

self-conceited and vain both are adjectives.

Word	Noun	Adjective	Verb	Adverb
self-conceited	No	Yes	No	No
vain	No	Yes	No	No

As adjectives, self-conceited and vain are synonyms defined as:

self-conceited and vain: characteristic of false pride; having an exaggerated sense of self-importance

Other synonyms of self-conceited include conceited, egotistic, egotistical, swollen-headed, swollen.

self-conceited (adjective)	vain (adjective)
characteristic of false pride; having an exaggerated sense of self-importance	characteristic of false pride; having an exaggerated sense of self-importance
	unproductive of success