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IEVref: | 102-05-02 | ID: | |

Language: | en | Status: Standard | |

Term: | vector line element | ||

Synonym1: | vector path element | ||

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Definition: | real vector being tangent to a given oriented curve at a given point, the magnitude of which is the absolute value of the scalar line element at the given point and the direction of which corresponds to the orientation of the curve Note 1 to entry: A vector line element is preferably designated by ${e}_{\text{t}}\mathrm{d}s$ or by $\mathrm{d}r$, or sometimes by $t\mathrm{d}s$, where ${e}_{\text{t}}=t$ is a unit vector tangential to the curve, $\mathrm{d}s$ is a scalar line element, $\mathrm{d}r$ is the differential of the position vector | ||

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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Note 1 to entry: A vector line element is preferably designated by ${e}_{\text{t}}\mathrm{d}s$ or by $\mathrm{d}r$, or sometimes by $t\mathrm{d}s$, where ${e}_{\text{t}}=t$ is a unit vector tangential to the curve, $\mathrm{d}s$ is a scalar line element, $\mathrm{d}r$ is the differential of the position vector ** r** describing the curve with respect to an origin point.