.ink files

You don't. A .lnk file is a link to a file on a Windows computer. How did you get this link? I assume someone sent you an attachment in an email and they attached the link to a file on their computer rather than attaching the actual file. I may be mistaken so provide more details regarding where you got the link.

Maybe my eyes are not what they used to be and you are asking about a .ink file. If so this is a "Electronic whiteboard" format saved by Mimio. If so, MimioStudio classroom software can open file.