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Real vector plus complex vector

  1. Oct 12, 2009 #1
    If there are three vectors a=(1,0,0) and b=(0,1,0) what vector will be a+ib (i - is a complex)
    Is it possible to imagine its direction in real three-space...

    Sorry if this is basic question
  2. jcsd
  3. Oct 12, 2009 #2
    Just add each component respectively: a+ib=(1+0i,0+i,0+0i)=(1,i,0).
    You can not imagine its direction in real 3-space because complex numbers can not be ordered. But you can imagine a 6-dimensional vector with a definite direction.
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