ISO TC 211 Geographic information/Geomatics Committee site

ISO/TC 211 Geolexica

Concept inner product <vector geometry>”

Term ID

2065

source

ISO 19107:2019, (E), 3.54

eng

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)

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info

  • status: valid
  • classification: preferred
  • date accepted: 2019-12-02

Review

last review performed:
(2019-12-02)
status:
final
decision:
accepted
decision event:
Normal ISO processing
notes:
Publication of document ISO 19107:2019(E)