Tweeter Blown OR Crossover? How to check?

I have a pair of Revel M22 monitors that I suspect one has a blown tweeter (no sound at all).  Am planning to purchase a pair of new tweeters, but dawned on me that I should check "output" at the speaker wires where the tweeter is .... maybe not tweeter and crossover instead?

How can I check that?  Can I clip leads onto those wires and hook into a small bookshelf speaker to check?  Or is that a no-no?

Nothing labeled on the tweeter to say positive or negative .... just one white wire (with blue stripe) and one black wire.  Guessing the white is positive and black is negative?

If it is the speaker, I'd guess I would install the new tweeter same way and hook up wires according to which way they are now (same) since there aren't any indicators on the speaker itself....

Please forgive my terminology if incorrect.