When you type vi in the terminal, the following output is shown
~ VIM - Vi IMproved
~
~ version 7.3.547
~ by Bram Moolenaar et al.
~ Modified by pkg-vim-maintainers@lists.alioth.debian.org
~ Vim is open source and freely distributable
~
~ Help poor children in Uganda!
So according to this, vi must be launching VIm.
But when you type vim it gives
aditya@aditya-desktop:~$ vim
The program 'vim' can be found in the following packages:
* vim
* vim-gnome
* vim-tiny
* vim-athena
* vim-gtk
* vim-nox
Try: sudo apt-get install <selected package>
This shows that vim is not installed.
Notably man vi and man vim launch the same man pages.
So what does the vi command actually launch?