Can this represent rotation? Why?

  1. If we say

    r2= (x-a)2 + (y-b)2 + (z-c)2

    can generally represent displacement,

    why can

    r2= (x- ia)2 + (y- ib)2 + (z- ic)2

    generally represent rotation?

    (i2 = -1)


    And why

    r2= x2 + y2 + (z - ia)2

    represents rotation with respect to z axis
     
  2. jcsd
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