  The stability of polarization, areas, and number of self-induced transparency
(SIT)-solitons at the output from the LaF_3:Pr^{3+} crystal is theoretically
studied versus the polarization direction and the area of the input linearly
polarized laser pulse. For this purpose the Vector Area Theorem is rederived
and two-dimensional Vector Area Theorem map is obtained. The map is governed by
the crystal symmetry and takes into account directions of the dipole matrix
element vectors of the different site subgroups of optically excited ions. The
Vector Area Theorem mapping of the time evolution of the laser pulse allows one
to highlight soliton polarization properties.
