project vs plan

project and plan both are nouns.

Word	Noun	Adjective	Verb	Adverb
project	Yes	No	Yes	No
plan	Yes	No	Yes	No

As nouns, plan is a hypernym of project; that is, plan is a word with a broader meaning than project:

Other hypernyms of project include program, programme.

As verbs, plan is a hypernym of project; that is, plan is a word with a broader meaning than project:

As verbs, project and plan are synonyms defined as:

Other synonyms of project include contrive, design.

project (noun)	plan (noun)
any piece of work that is undertaken or attempted	scale drawing of a structure
a planned undertaking	a series of steps to be carried out or goals to be accomplished
	an arrangement scheme

project (verb)	plan (verb)
present for consideration, examination, criticism, etc.	make plans for something
regard as objective	have the will and intention to carry out some action
communicate vividly	make or work out a plan for; devise
throw, send, or cast forward
transfer (ideas or principles) from one domain into another
imagine; conceive of; see in one's mind
make or work out a plan for; devise
put or send forth
draw a projection of
cause to be heard
project on a screen
extend out or project in space