stand back vs keep one's distance

stand back and keep one's distance both are verbs.

Word	Noun	Adjective	Verb	Adverb
stand back	No	No	Yes	No
keep one's distance	No	No	Yes	No

As verbs, stand back and keep one's distance are synonyms defined as:

Other synonyms of stand back include keep one's eyes off, keep one's hands off, stay away.

stand back (verb)	keep one's distance (verb)
stand away from an object or person	stay clear of, avoid
stay clear of, avoid