Vector image on another vector

  1. Hello
    I want to demonstrate a equation of Vector image on another vector (A on B)
    [​IMG]
    So i go this steps
    [​IMG]
    and as we know
    [​IMG]
    so change the equation
    [​IMG]
    but in my equation A is (vector scale) not a (Vector)!!!!
    what is my problem?
     
  2. jcsd
  3. HallsofIvy

    HallsofIvy 40,297
    Staff Emeritus
    Science Advisor

    You have [itex]\overline{A}[/itex], [itex]A[/itex], and [itex]\left|\overline{A}\right|[/itex]. I understand that [itex]\overline{A}[/itex] is a vector and that [itex]\left|\overline{A}\right|[/itex] is its length but what is [itex]A[/itex]?
     
  4. Thanks for your replay
    A and |A| both of them are length of A vector (in electromagnetic books we assume that A=|A| for easy to write)
     
  5. pwsnafu

    pwsnafu 903
    Science Advisor

    Then pick one and stick with it. Similarly, don't swap between upper and lower case.
     
  6. I rewrite the Steps.
    main formula:
    [​IMG]

    steps:
    [​IMG]
    as we know
    [​IMG]
    and
    [​IMG]
    so
    [​IMG]

    but in my equation |A| is (vector length) not a (Vector)!!!!
    what is my problem?
     
  7. Oh Baby,

    What are you doing? You are taking the dot product of vector A and vector B which results in a scalar. Then you are taking the dot product of that scalar with vector B. That makes no sense.

    I think you want the dot product of vector A and vector B/|B|. B/|B| is the unit vector in the B direction.

    Ratch
     
  8. Thanks friends
    i found my probelm
    Image of Vector of A on B is a Vector and we should define the direct of it when write the image equation
    [​IMG]
     
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