  In this work, we have abstractly generalized the similarity law for
multidimensional vectors. Initially, the law of similarity was derived for
one-dimensional vectors. Although it operated with such values of the ratio of
parts of the whole, it meant linear dimensions (a line is one-dimensionality).
The concept of the general golden ratio (GGR) for the vectors in the
multidimensional space is described in detail with equations and solutions. It
shown that the GGR depends on the angles. Main properties of the GGR are given
with illustrative examples. We introduce and discuss the concept of the similar
vectors and set of similarities for a given vector. Also, we present our vision
on the theory of the golden ratio for triangles and describe with examples the
similar triangles.
