      IEVref: 102-03-22 ID: Language: en Status: backup    Term: component (of a vector quantity) Synonym1: coordinate (of a vector quantity [Preferred]  Synonym2:  Synonym3:  Symbol: Definition: any of the n scalar quantities ${Q}_{1}\text{,Ā}{Q}_{2}\text{,Ā}\dots \text{,Ā}{Q}_{n}$ 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 ${a}_{1}\text{,Ā}{a}_{2}\text{,Ā}\dots \text{,Ā}{a}_{n}$NOTEĀ1 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 ${e}_{1}\text{,Ā}{e}_{2}\text{,Ā}{e}_{3}\text{Ā}$ are the unit vectors. Similar considerations apply to tensor quantities. NOTEĀ2 The components of a vector quantity are transformed by a coordinate transformation like the coordinates of a position vector. NOTEĀ3 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 (102-03-09). Publication date: 2007-08 Source: Replaces: Internal notes: CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: