<PRE><B>Question 542668</B>
When plotting imaginary and real numbers, the 
vertical axes are imaginary.
For a rotating vector of length 1, the sequence is:
i, -1, -i, 1
and this just keeps repeating as the vector rotates
{{{ i^(-4003) }}}
This is a vector that rotates in the opposite direction
the sequence is:
-i, -1, i, 1
The vector goes around {{{ 4003/4 }}} times, because
every 4 steps brings it back to {{{ -i }}}
{{{ 4003/4 = 1000 }}} with a remainder of {{{ 3 }}}
1 step puts me at {{{-1}}}
2 steps puts me at {{{ i }}}
3 steps puts me at {{{ 1 }}}
{{{ i^(-4003) = 1 }}}
Hope I got it. You might want
another opinion in case I messed up.


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