quest for vs seek

quest for is not a noun while seek is a noun.

Word	Noun	Adjective	Verb	Adverb
quest for	No	No	Yes	No
seek	Yes	No	Yes	No

As verbs, seek is a hypernym of quest for; that is, seek is a word with a broader meaning than quest for:

Other hypernyms of quest for include look for, search.

quest for (noun)	seek (noun)
	the movement of a read/write head to a specific data track on a disk

quest for (verb)	seek (verb)
go in search of or hunt for	inquire for
	try to locate or discover, or try to establish the existence of
	go to or towards
	try to get or reach
	make an effort or attempt