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

Language: | en | Status: backup | |

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 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: | 2007-08 | ||

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

NOTE 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.

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