Vektoreissa

Vektoreissa is a Finnish grammatical form of the noun vektori, meaning vectors. It is the inessiive plural form, used to indicate location or context “in the vectors” or “within the vectors.” In Finnish mathematical writing, vektorit refer to quantities that have both magnitude and direction, commonly used in linear algebra, physics, and computer graphics. The inessiive plural vektoreissa appears when the discussion concerns multiple vectors collectively, for example when describing properties that apply to a set of vectors or operations performed on them.

The concept of a vector can be treated in coordinate form or as an abstract element of a vector space. In coordinate form, a vector might be written as a list of components, such as (x1, x2, ..., xn). In more abstract contexts, vectors belong to a vector space and operations like addition and scalar multiplication are defined by the space’s axioms. When texts discuss several vectors together, the plural inessiive form vektoreissa is appropriate to indicate the discussion applies within that group of vectors.

Usage notes: Finnish nouns decline for number and case, and inessiive plural forms often appear in explanations, proofs, or problem statements that reference multiple vector objects. Vektoreissa is most commonly encountered in technical writing, coursework, and mathematical expositions in Finnish.

See also: vektori, vektorijoukko, vektoritila, lineaarialgebra.