vektoritega

Vektoritega is a term used in Estonian-language mathematics discourse to refer to approaches, exercises, and notation that involve vectors; literally meaning "with vectors." It commonly appears in textbooks and problem sets that introduce linear algebra and vector calculus.

In practice, tasks described as vektoritega involve representing geometric quantities as vectors, performing vector operations (addition, scalar multiplication, dot and cross products), determining linear combinations, spans, bases, coordinates, and projections. The concept of linear independence and a basis of a vector space is central; one expresses vectors relative to a basis and solves systems of equations by matrix methods. The phrase often accompanies instructions to work with vectors rather than scalars.

Applications of vektoritega methods span multiple fields. In physics and engineering, vectors describe forces, velocities, and fields; in computer graphics, vectors underpin coordinates and geometric transformations; in data science, high-dimensional feature vectors are common. In Estonia, the term is widely used in secondary and higher education, particularly in courses on linear algebra, geometry, and vector calculus.

See also: vectors, linear algebra, vector calculus, basis, span, linear transformation. Etymology: derived from the Estonian word vektor (vector) with the comitative suffix -itega.