Thank you colucix. Your suggestion worked pretty well.
I forgot to mention that this is Oracle Enterprise 11g.
I log in to Oracle and at the prompt I write:
sql> spool my_query.txt;
sql> [my query here];
sql> spool off;
I then return to my command prompt and when I open the file my_query.txt, besides the result of the query I also see the following:
[Whole SQL query here]
[Result of query here]
[Number of rows returned here]
Obviously I only want to save the query results... I still need to find a way to get rid of the other stuff (the text of the query and the # of rows returned by it).