Will my Dropbox photos still be saved on my account if I reset my iPhone?

I'm about to do a complete reset on my iPhone, I just wanna see if my photos will still be saved.Their not saved no iCloud, and their not backed up on my computer, but I have them all saved in the Dropbox app. If I download the app again, and log back in to my Dropbox account, will my photos still be there?

Yes they will. Dropbox has nothing to do with Apple, so whatever happens to your iPhone, your pictures will still be there because as you mentioned, they aren't stored on neither your phone nor iCloud.

Now, if something extremely bad happened to Dropbox servers, then yes your pictures could be gone, but that is very unlikely.

As a safety measure, back up your pictures on your computer just to have another back up just to be safe.