I'm just learning R (I don't know any other programming languages),
  and I have a question. I am trying to figure out how to ask for user
  input (say, a set of 3 numbers) then put those numbers into an array.
  I've looked around, but I haven't been able to find any answers that I
  understand.
  Thanks!

Astoundingly, finding out how to load my own datasets was one of the hardest things for me to find information on when I was new to R and I had considerable programming experience. Part of the problem was that I didn't yet know exactly what R documentation was available or how to easily access it. Further, veteran users tend to assume loading datasets is easy, and much documentation and sample code uses 'generated data'. Thus, sample code demonstrating 'loading datasets' is a little hard to find when you are starting out!

The official recommendation would go something like, "You probably want to read the Import/Export documentation." You can find this on Windows GUI under help | manuals | Data Import/Export. Of course you proably also need to read chapter 7 of An Introduction to R which is also linked under manuals in the help menu. That said, I offer some beginner cheats you might find useful below. I particularly recommend the Verzzani Appendix.

Things you could type at the command line to learn more about different ways to enter data are:
?scan
?read.table
?read.delim
?read.csv

"Beginner cheats Suggestions"

If you want GUI data input (of dataframes), I'd suggest installing and running the Rcmdr package. It lets you load many types of datasets, including Excel files. These can be used within Rcmdr or from the command line.

If you are really new to R, I suggest looking at some of the contributed documentation to get a feel for how things are done as well as how to load user data
http://cran.us.r-project.org/other-docs.html

In particular, look at the appendix in John Verzzani's document to see a pragmatic description of using scan to input user data. (see Appendix: Entering Data in R on p. 103 or so).
http://cran.us.r-project.org/doc/contrib/Verzani-SimpleR.pdf

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