IEVref: 102-03-29 ID: Language: en Status: Standard Term: angle, Synonym1: Synonym2: Synonym3: Symbol: Definition: real number ϑ such that 0 ≤ ϑ ≤ π, the cosine of which is the ratio of the scalar product of two given real vectors U and V to the product of their magnitudes $\vartheta =\text{arccos}\frac{U\cdot V}{|U|\cdot |V|}$ Note 1 to entry: The angle of two vectors is always defined because the inequality $|U\cdot V|\le |U|\cdot |V|$ is valid for the scalar product. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: