If you do
vim document2.txt then the file will be in your present working directory (run
pwd to display the location of your present working directory).
So for instance, if you just open a terminal as normal user and run
vim document2.txt then it will most likely be in your home directory. You can also use absolute or relative paths. For instance
vim /home/ted/stuff/document2.txt would be an absolute path, or if you are already in your home directory, you can do
vim stuff/document2.txt
I've always created the file before I edit it, because I hate the whole :sav thing, I'd rather just make the edits and press SHIFT+ZZ.
To create a file
touch /path/to/filename