% Handling the crossover of intersecting lines
% Author: Steffen Knoll
\documentclass{article}
\usepackage{tikz}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{10pt}%
\usetikzlibrary{intersections}
\usepackage{tkz-euclide}
\usetkzobj{all}

\begin{document}

% Radius for arc over intersection
\def\radius{1.mm} 

\begin{tikzpicture}[scale=1]
  \coordinate (A) at (0,0);
  \coordinate (B) at (0,3);
  \coordinate (C) at (2,0);
  \coordinate (D) at (3,3);

  % first line
  \draw [->,name path=line 1] (B) -- (C);

  % second line (defined as path)
  \path[name path=line 2] (D) -- (A);	

  % find intersection of first and second line
  \path [name intersections={of = line 1 and line 2}];
  \coordinate (S)  at (intersection-1);

  % path a circle around this intersection for the arc
  \path[name path=circle] (S) circle(\radius);

  % find intersections of second line and circle
  \path [name intersections={of = circle and line 2}];
  \coordinate (I1)  at (intersection-1);
  \coordinate (I2)  at (intersection-2);

  % draw normal line segments
  \draw (D) -- (I1);
  \draw[->] (I2) -- (A);

  % draw arc at intersection
  \tkzDrawArc[color=black](S,I1)(I2);

\end{tikzpicture}
\end{document}