The orthogonal transformations in the space are those automorphisms which preserve the value of the bilinear form between every pair of vectors; in Euclidean space, this corresponds to preserving distances and angles.
In Euclidean space, this corresponds to preserving distances and angles. The orthogonal transformations in the space are those automorphisms which preserve the bilinear form between any pair of vectors.
The orthogonal transformations in the space are those automorphisms which preserve the bilinear form between any pair of vectors. In Euclidean space, this corresponds to preserving distances and angles.
The orthogonal transformations in the space are those automorphisms which preserve the bilinear form between any pair of vectors. In Euclidean space, this corresponds to preserving distances and angles.