when i complete assignments for class. i save them on my computer as .doc
files. I submit them to my professor they automatically convert to .ink file.
the professor is unable to open
I think you'll find that the extension is ".lnk" (with an ell) rather
than ".ink", and that means it's a shortcut to the document and not
the document itself. Since your professor doesn't have any way to
follow the shortcut back to your computer, it isn't surprising that
s/he can't open it.
Are you submitting the document by email? If so, use the email
program's Attach File command instead of drag-and-drop. If instead
you're copying the document to a file server, use the copy and paste
commands.