inner product <vector geometry>
bilinear, symmetric function from pairs of vectors `<< vec v_1, vec v_2 >> rarr RR` to a real number such that `<< vec v, vec v >> = norm (vec v)` and `<< vec v_1, vec v_2>> = norm (vec v_1) norm (vec v_2) cos theta` where "`theta`" is the angle between `vec v_1` and `vec v_2`.
Note to entry: Inner products in differential geometry are used on the differentials that make up the local tangent spaces. In this document, this will usually be vectors tangent to a datum surface embedded a geocentric <<math>> Euclidean/Cartesian space.n th
ORIGIN: ISO/TC 211 Glossary of Terms - English (last updated: 2020-06-02)