look across vs lie

look across is not a noun while lie is a noun.

Word	Noun	Adjective	Verb	Adverb
look across	No	No	Yes	No
lie	Yes	No	Yes	No

As verbs, lie is a hypernym of look across; that is, lie is a word with a broader meaning than look across:

look across (noun)	lie (noun)
	a statement that deviates from or perverts the truth
	position or manner in which something is situated

look across (verb)	lie (verb)
be oriented in a certain direction	tell an untruth; pretend with intent to deceive
	be lying, be prostrate; be in a horizontal position
	assume a reclining position
	be located or situated somewhere; occupy a certain position
	originate (in)
	have a place in relation to something else
	be and remain in a particular state or condition