dimension vs magnitude

dimension and magnitude both are nouns.

Word	Noun	Adjective	Verb	Adverb
dimension	Yes	No	Yes	No
magnitude	Yes	No	No	No

As nouns, magnitude is a hypernym of dimension; that is, magnitude is a word with a broader meaning than dimension:

dimension: the magnitude of something in a particular direction (especially length or width or height)
magnitude: the property of relative size or extent (whether large or small)

As nouns, magnitude is a hypernym of dimension; that is, magnitude is a word with a broader meaning than dimension:

dimension (noun)	magnitude (noun)
the magnitude of something in a particular direction (especially length or width or height)	the property of relative size or extent (whether large or small)
magnitude or extent	relative importance
a construct whereby objects or individuals can be distinguished	a number assigned to the ratio of two quantities; two quantities are of the same order of magnitude if one is less than 10 times as large as the other; the number of magnitudes that the quantities differ is specified to within a power of 10
one of three Cartesian coordinates that determine a position in space

dimension (verb)	magnitude (verb)
shape or form to required dimensions
indicate the dimensions on