3space
3space, commonly denoted R^3 or E^3, is the three-dimensional Euclidean space that serves as the standard setting for classical geometry and physical space. It consists of all ordered triples (x, y, z) of real numbers.
As a real vector space, 3space has dimension 3 with the standard basis (1,0,0), (0,1,0), (0,0,1). The
Geometric objects in 3space include lines, defined as p + t v for a point p and direction
Transformations that preserve distances are isometries, forming the Euclidean group in three dimensions, including rotations, translations,
Applications of 3space span physics (spatial description in classical mechanics and as the spatial part of