LinkedIn profile and resume are two different documents that start from the same basis but are used in two different ways.
In this video, Katherine Burik describes the different ways each tool is used.
Resumes are used as a take along to interviews, when you apply for jobs, when you work with a recruiter. It also is a great format for creating a strategic view of what you want.

Now we have two books available to support you in the first two parts of the job search experience. I cannot believe how far we have come!
I asked Tom if he was getting any traction with that resume. “Sure, I am getting a lot of responses. In fact I have an interview tomorrow.”