Is the Mac-mini FileVault Recovery Key the same for unlocking my Time Machine disk?

den.thed; Thanks for you attention. And I am sorry I could not make pose my question clearly. For what it's worth, here is the answer I was seeking:

When you set FileVault on Mac OS it generates a Recovery key consisting of a string of 6 sets of 4 characters (24 total). See screen shot below. My question was in regard to a similar recovery key for TiMa. I have since learned that there is no similar 24 character Recovery Key for TiMa. There is only the password you create when you first encrypt the TiMa hard drive. By the way, the TiMa password does not have to be the same as the computer login password. (Also BTW, a similar 28 character Recovery Key is generated for your Apple cloud account. It is the only way to regain control of your account should you get locked out.)

This what you see when selecting FileVault ON.

Thanks for the reply.

My question is not about passwords. It is about the FileVault Recovery Key. This is a 24 character code generated by FileVault when you encrypt your hard drive. It is the only way to unlock your encrypted drive if you lose your password.

I have the key for my Mac-mini SSD. I do not have a key for TiMa. My question is: Will the key for my Mac SSD work for my TiMa.