IEVref: 102-03-04 ID: Language: en Status: Standard Term: vector, Synonym1: Synonym2: Synonym3: Symbol: Definition: element of a vector spaceNote 1 to entry: An n-dimensional vector is represented by an ordered set of n scalars, usually real or complex numbers, which depend on the choice of the base. In matrix notation, these scalars are usually represented as a column matrix: $U=\left(\begin{array}{c}{U}_{1}\\ {U}_{2}\\ ⋮\\ {U}_{n}\end{array}\right)$ Note 2 to entry: A vector in a Euclidean space is characterized by its magnitude and, if it is a non-zero vector, by its direction. Note 3 to entry: A complex vector U is defined by a real part and an imaginary part: $U=A+jB$ where A and B are real vectors. Note 4 to entry: A vector is indicated by a letter symbol in sloped boldface type or by an arrow above a sloped lightface letter symbol: U or $\stackrel{\to }{U}$. The vector U with components ${U}_{i}$ can be denoted $\left({U}_{i}\right)$. Note 5 to entry: The term "vector" is also used for a vector quantity.Note 6 to entry: In geometry, the term “vector” is often used for a directed line segment in a point space. Publication date: 2017-07 Source: Replaces: 102-03-04:2007-08 Internal notes: CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: