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You can find your cached videos here: /data/data/com.facebook.katana/files/video-cache NB: To open that path, you'll need your phone to be rooted and a root explorer
For Dropbox, see How do I configure Dropbox in my Galaxy S III so that it does NOT automatically upload every photo/video I take? For Facebook, see How can I disable automatic Facebook photo sync? Of course, you can also just uninstall (or disable) either app to stop it uploading pictures.
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