From: <Pet...@es...> - 2001-11-09 12:16:57
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> how is the angle between two complex vectors defined? > Is it acos( |a.b| / |a||b| ) ? No, it is just acos( a.b / |a||b| ), which is in general a complex number. This does not really make sense, i.e., there is no natural interpretation of this kind of angles, but it is the only sensible extension of "real" angles. acos( |a.b| / |a||b| ) cannot be correct since then the angle between (1,0) and (-1,1) would be 45 degrees instead of 135 degrees. Peter. |