[en] Indirect hyperfine interactions in magnetic dielectrics are considered within the framework of the polar model of a crystal. For this purpose studied was the action of operators projecting the wave function onto the space of eigenfunctions of the crystal, for which the homeopolarity condition is violated. The contributions to the hyperfine interaction from closed electron shells polarized in spins due to the exchange interaction with paramagnetic ions are considered using methods of irreducible tensor operators of the rotation group. In the case of a weak crystal field, in the hamiltonian of the hyperfine interaction for orbitally degenerated states of the paramagnetic ions in orthovanadates of rare earth elements, it is sufficient to restrict oneself to spin and orbital contributions for explaining isotropic shifts of the nuclear magnetic resonance of ⁵¹V. To explain a similar dependence of the orthovanadates of transition elements (the case of a strong crystal field) it will be sufficient to take into account the spin contribution only