\documentclass[]{article}
\usepackage{pstricks}
\usepackage{pst-3dplot}
\pagestyle{empty}
\parindent=0pt

\begin{document}

\begin{center}
\begin{pspicture}(-4,-2.5)(4,5)
\psset{unit=5cm,drawCoor=true}
\def\oA{\pstThreeDLine[linecolor=blue,linewidth=3pt,%
    SphericalCoor=true,arrows=c->](0,0,0)(1,60,70)}
\def\oB{\pstThreeDLine[linecolor=red,linewidth=3pt,%
  SphericalCoor=true,arrows=c->](0,0,0)(1,10,50)}
\def\oAB{\pstThreeDEllipse[beginAngle=90,endAngle=122,fillcolor=green,%
  SphericalCoor=true](0,0,0)(1,140,40)(1,10,50)}
\pstThreeDCoor[drawing=true,linewidth=1pt,linecolor=black,%
  xMin=0,xMax=1.1,yMin=0,yMax=1.1,zMin=0,zMax=1.1]
\pstThreeDEllipse[beginAngle=0,endAngle=90,linestyle=dashed]%
  (0,0,0)(-1,0,0)(0,1,0)
\pstThreeDEllipse[beginAngle=0,endAngle=90,linestyle=dashed]%
  (0,0,0)(-1,0,0)(0,0,1)
\pstThreeDEllipse[beginAngle=180,endAngle=90,linestyle=dashed]%
  (0,0,0)(0,0,1)(0,1,0)
\psset{SphericalCoor=true}
\pstThreeDDot[dotstyle=none](1,10,50)
\pstThreeDDot[dotstyle=none](1,60,70)
\pscustom[fillstyle=crosshatch,hatchcolor=yellow,linestyle=none]{\oA\oB\oAB}
\oA \oB \oAB
\pstThreeDPut(1.1,60,70){\Large $\vec\Omega_1$}
\pstThreeDPut(1.2,10,50){\Large $\vec\Omega_2 \,$}
\pstThreeDPut(1,10,65){\Large $\gamma_{12}$}
\end{pspicture}
\end{center}

\end{document}

