On the collinearity of vortex and the velocity behind a detached bow shock

We consider a steady flow of an ideal perfect gas formed in a supersonic homogeneous incoming flow behind a detached shock wave in front of a convex body in the general spatial case (asymmetrical streamlined body or symmetrical body at an angle of attack). It is assumed that in the region between the shock and the convex head part of the streamlined body, the velocity is zero only at the forward stagnation point. Using the regularities following from the Euler equations, it is shown that the vector product of vorticity and velocity is nonzero everywhere, except for the streamline intersecting the shock along the normal (on this streamline, the vorticity is zero) and except for stagnation point (where the velocity is zero).