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\begin{tikzpicture}[>=latex]
\tkzDefPoint(1,4){a}
\tkzDefPoint(3,2){b}
\tkzDefPoint(1,1){c}
\tkzDrawSegment[->,red](a,b)
\tkzGetPointCoord(c){c}
\draw[color=blue,->](a) -- ([shift=(b)]\cx,\cy) ;
\draw[color=purple,->](b) -- ([shift=(b)]\cx,\cy) ;
\tkzDrawSegment[->,blue](a,c)
\tkzDrawSegment[->,purple](b,c)
\end{tikzpicture}
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