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They are one and the same. Curriculum Vitae is used in British English, while Resume is used in American English.
It's just like:
lift = British English; elevator = American English;
or
flat = British English; apartment = American English
The main differences between a resume and a curriculum vitae are the length.
A curriculum vitae generally has a much wider scope, covering areas of your life and background that a resume won't.A curriculum vitae is generally a much longer document, commonly ranging anywhere from five to ten or more pages in length. A CV gives the employer a bigger picture of you as a person as well as you as a work.2. A resume is a brief, to the point, fact-by-fact analysis of your educational and professional life.