  In the paper we give a characterization of a $w^*$-continuous orthogonal
vector field $F$ over an $W^*$-algebra $\mathcal{N}$ of type $I_2$ in terms of
reductions $F$ on the center of $\mathcal{N}$. As an application it is obtained
a proof of the assertion that an arbitrary $w^*$-continuous orthogonal vector
field over a $W^*$-algebra of type $I_2$ is stationary.
