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Complex conjugate vectors?

  1. Dec 9, 2013 #1
    what is the dot product of two complex conjugate vectors?
     
  2. jcsd
  3. Dec 9, 2013 #2

    Simon Bridge

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    $$\vec v^\star \cdot \vec v $$ you mean?
    You can figure it out for yourself...

    So let ##\vec v = (v_1,v_2,v_3,\cdots)^t## And ##\vec u = (u_1,u_2,u_3,\cdots)^t## where ##v_i,u_i\in\mathbb{C}##

    What would ##\vec u \cdot \vec v## be, in terms of the components?

    Now let ##\vec u = \vec v^\star##
     
  4. Dec 10, 2013 #3
    sorry sir! i didn't get you
     
  5. Dec 10, 2013 #4

    Simon Bridge

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