IEVref: 102-03-22 ID: Language: en Status: Standard Term: component, Synonym1: coordinate, [Preferred] Synonym2: Synonym3: Symbol: Definition: any of the n scalar quantities ${Q}_{1}\text{,}{Q}_{2}\text{,}\dots \text{,}{Q}_{n}$ in the representation of a vector quantity Q as the linear combination ${Q}_{1}{a}_{1}+{Q}_{2}{a}_{2}+\dots +{Q}_{n}{a}_{n}$ of the base vectors ${a}_{1}\text{,}{a}_{2}\text{,}\dots \text{,}{a}_{n}$Note 1 to entry: Instead of treating each component of a vector quantity as a quantity (i.e. the product of a numerical value and a unit of measurement), the vector quantity Q may be represented as a vector of numerical values multiplied by the unit: $Q=\left\{{Q}_{1}\right\}\text{\hspace{0.17em}}\left[Q\right]\text{\hspace{0.17em}}{e}_{1}+\left\{{Q}_{2}\right\}\text{\hspace{0.17em}}\left[Q\right]\text{\hspace{0.17em}}{e}_{2}+\left\{{Q}_{3}\right\}\text{\hspace{0.17em}}\left[Q\right]\text{\hspace{0.17em}}{e}_{3}=\left(\left\{{Q}_{1}\right\}\text{\hspace{0.17em}}{e}_{1}+\left\{{Q}_{2}\right\}\text{\hspace{0.17em}}{e}_{2}+\left\{{Q}_{3}\right\}\text{\hspace{0.17em}}{e}_{3}\right)\text{\hspace{0.17em}}\left[Q\right]$ where $\left\{{Q}_{1}\right\},\text{\hspace{0.17em}}\left\{{Q}_{2}\right\},\text{\hspace{0.17em}}\left\{{Q}_{3}\right\}$ are numerical values, $\left[Q\right]$ is the unit, and ${e}_{1}\text{,}{e}_{2}\text{,}{e}_{3}\text{}$ are the unit vectors. Similar considerations apply to tensor quantities. Note 2 to entry: The components of a vector quantity are transformed by a coordinate transformation like the coordinates of a position vector. Note 3 to entry: The term "coordinate" is generally used when the vector quantity is a position vector. This usage is consistent with the definition of the coordinates of a vector in mathematics (IEV 102-03-09). 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: