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Math Help - question on complex nos.

  1. #1
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    question on complex nos.

    hi... there has been a question which always crosses my mind whenever i see complex numbers...
    we say..
    |x| is defined as squareroot(x^2)
    so,
    why do we not write |i| as i... (squareroot(i^2)=i)? (note that 'i' means iota)
    now u'll say that modulus function has also been defined as distance of the argument(i, in this case) from the origin..., which u say is i unit from the origin.. but why can't be the distance of a point from the origin be 'i'(iota) units ???? whats wrong with it ???

    let me frame an example here..
    u draw a graph with Y-axis scale as i unit = 3... then in reference to this graph, do we write |3|=1 (as distance from origin=1 unit) ????? the answer is a no.... then why cant we treat iota in the same way?? here also we are defining 1 unit of y-axis as 'i'....
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  2. #2
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    Re: question on complex nos.

    Quote Originally Posted by pranjvas View Post
    hi... there has been a question which always crosses my mind whenever i see complex numbers...
    we say..
    |x| is defined as squareroot(x^2)
    so,
    why do we not write |i| as i... (squareroot(i^2)=i)? (note that 'i' means iota)
    now u'll say that modulus function has also been defined as distance of the argument(i, in this case) from the origin..., which u say is i unit from the origin.. but why can't be the distance of a point from the origin be 'i'(iota) units ???? whats wrong with it ???

    let me frame an example here..
    u draw a graph with Y-axis scale as i unit = 3... then in reference to this graph, do we write |3|=1 (as distance from origin=1 unit) ????? the answer is a no.... then why cant we treat iota in the same way?? here also we are defining 1 unit of y-axis as 'i'....
    Do not post the same question twice under any circumstances.

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  3. #3
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    Re: question on complex nos.

    Quote Originally Posted by Plato View Post
    Do not post the same question twice under any circumstances.

    This is the third time. You can be banned from this sight if it happens again.
    hey as i m new, i didnt know that..
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