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IEVref: | 102-03-29 | ID: | |

Language: | en | Status: Standard | |

Term: | angle, <between two vectors> | ||

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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 and U to the product of their magnitudes V$\vartheta =\text{arccos}\frac{U\cdot V}{\left|U\right|\cdot \left|V\right|}$ Note 1 to entry: The angle of two vectors is always defined because the inequality $\left|U\cdot V\right|\le \left|U\right|\cdot \left|V\right|$ is valid for the scalar product. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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$\vartheta =\text{arccos}\frac{U\cdot V}{\left|U\right|\cdot \left|V\right|}$

Note 1 to entry: The angle of two vectors is always defined because the inequality $\left|U\cdot V\right|\le \left|U\right|\cdot \left|V\right|$ is valid for the scalar product.