The Euler equations with an isotropic turbulent resistance being determinable by the Reynolds stresses have the Bernulli integral in that event when the fluid undergoes the impact of non-potential body forces. This kind of integral is employed for formulation of the problems of MHD flowaround for non-conductive bodies in the inductive approximation in constant applied magnetic field. The appropriate problems are reduced to integration of the set of Neumann external boundary problems concerning the Laplace equation for electric and hydrodynamic potentials. A new operation of the vector analysis has been determined: the direct product of several vectors. Employing this operation facilitates radically solution of the sets of linear algebraic equations, simplifies computations made with the scalar, vector and mixed vectors products, makes easier the writing of sophisticated vector expressions, etc. A problem is now solved for the MHD conductive fluid flow running around the ellipsoid in magnetic field. A hydroelectromagnetic force expression is formulated for the effect of the flow on the ellipsoid. In the absence of electromagnetic field, this force determines the action on the ellipsoid of a conventional circulation-free turbulent flow thereby removing the Eiler-d'Alambert paradox, since in the absence of the field the current of the fluid is potential.