So it's the noodle for the brakes. (V brakes)

This thing....


So for both brakes and shifting, those are purchased separately?

Do I need to worry about any internal cable diameter when purchasing these for either cable or brakes? Any teflon coating or something like that? I did notice on the cruddy rear brake noodle that it had some kind of plastic-like coating on the inside. I just shoved the brake cable through and the crud loosened up enough. The brake one is something that's possible to replace easily enough with the next broken brake cable.