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Hermitian inner product btw 2 complex vectors & angle btw them

  1. Aug 27, 2009 #1
    What is the relationship btw the Hermitian inner product btw 2 complex vectors & angle btw them.
    x,y are 2 complex vectors.
    [tex]\theta[/tex] angle btw them

    what is the relation btw [tex]x^{H}[/tex]y and cos([tex]\theta[/tex])??
    Any help will be good?
     
  2. jcsd
  3. Aug 27, 2009 #2
    What is definition of "angle" in complex space? Same as the underlying real space? Then, of course, use the underlying real inner product, which is the real part of the complex inner product.
     
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