vex vs deliberate

vex is not an adjective while deliberate is an adjective.

Word	Noun	Adjective	Verb	Adverb
vex	No	No	Yes	No
deliberate	No	Yes	Yes	No

As verbs, deliberate is a hypernym of vex; that is, deliberate is a word with a broader meaning than vex:

Other hypernyms of vex include debate.

vex (adjective)	deliberate (adjective)
	carefully thought out in advance
	unhurried and with care and dignity
	characterized by conscious design or purpose

vex (verb)	deliberate (verb)
be a mystery or bewildering to	discuss the pros and cons of an issue
subject to prolonged examination, discussion, or deliberation	think about carefully; weigh
change the arrangement or position of
cause annoyance in; disturb, especially by minor irritations
disturb the peace of mind of; afflict with mental agitation or distress