Saturday, September 13, 2014
Formulas for the Radial and Tangent Vectors in 4-space
The minimum points, a, b, and c, are used to define the radial unit vector as follows.
The set of four vectors forms an orthonormal basis which can be checked by calculating the dot products for pairs of the vectors in the basis B. Motion in any direction on the 4-sphere can be expressed by a linear combination of the tangent vectors.