Similarity and model designing in a nonscalar description of an examined process

The problem of similarity and designing of a physical model of an examined process is considered on the basis of generalizations of Theorem $ \pi$. It is shown that in cases of nonscalar description the similar model of a process could be designed on the basis of a special version of Theorem $ \pi$. Similarity scales can be obtained only for the vector modulus, or for the components of vectors and tensors when special experimental conditions (described in this paper) are fulfilled.