Cauchy/ Triangle Inequality

  1. I was wonder what conditions a and b have to be for each inequality in order to satifsy the equality?
     
  2. jcsd
  3. mathman

    mathman 6,618
    Science Advisor
    Gold Member

    It would help if you wrote out the inequality as a function of a and b. I'm not a mind reader.
     
  4. Cauchy's inequality is just the trivial |a . b| <= |a||b| Oo

    Triangle inequality

    |a+b| = |a| +|b|
     
  5. What do you think happens when a,b are both postive or both negative ?
     
  6. Landau

    Landau 905
    Science Advisor

    Just go over the proof, and you'll probably see it.
     
  7. mathman

    mathman 6,618
    Science Advisor
    Gold Member

    To answer your question, you need to specify what a and b are. Possibilities: real numbers, complex numbers, vectors (either real or complex).
     
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