Vektoru

Vektoru is a term used in mathematical and linguistic contexts to denote a vector or a vector-like quantity. In some language communities the word functions as the nominative singular noun for a vector, while other grammatical forms are used for possessive, plural, or oblique cases.

Etymology and usage notes that while the concept originates from the Latin or English word vector, local spelling conventions influence the form. In languages with agglutinative or inflectional morphology, vektoru may appear alongside related terms such as vektor or vecteur, reflecting different grammatical roles rather than distinct concepts.

In mathematics, a vektoru is defined by its magnitude and direction and can be expressed as an ordered n-tuple of components relative to a chosen basis. It supports operations such as addition and scalar multiplication and can be represented graphically as an arrow or analytically by coordinates. Vektoru serve as the basic building blocks for more complex structures like vector spaces and vector-valued functions.

In physics and engineering, vektoru describe physical quantities that transform according to vector rules under coordinate changes, such as velocity, force, or displacement. In computer science and graphics, vectors are used to store geometric data, perform transformations, and support rendering and simulations.

Variants and related terms include vektor, vecteur, and the broader concept of vector. The topic intersects with areas such as vector spaces, vector fields, and tensors, reflecting the central role of directional quantities across disciplines.