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How to interpret absolute value bars?

  1. Apr 27, 2012 #1
    I was further looking into the Cauchy schwarz inequality and i got to a statement as follows:

    A·B ≤ |A·B|

    However, when I tried to prove this using numbers on paper, I wasn't sure if the absolute value bars distribute among each term, which would lead to |A|·|B|, or if the final product is then absolute.

    I was wondering how you would interpret the above statement (assuming all capital letters represent vectors

    These are the components I assumed.

    A= {1,2} B= {-2,3} c= -2

    Also how would the following below be interpreted?


    Thank you.
  2. jcsd
  3. Apr 27, 2012 #2
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