Er, no, it doesn't break.
Let's say I have two documents: “affectionate goat” and “cheese gopher” B. If we actually represented them as vectors, they could look something like this:
A [1,1,0,0]
B [0,0,1,1]
, , , . , . .
, , , . (A, B) "marmoset kungfu", , - . , , , . , , , .