nullvektor
The nullvektor, commonly called the zero vector, is the additive identity of a vector space. It is the unique element that, when added to any vector, leaves that vector unchanged: for every vector v in a vector space V, v plus the nullvektor equals v, and the same in the opposite order.
In a vector space over a field, the zero vector is defined by these properties and is
The nullvektor is closely tied to the geometric notion of the origin in coordinate spaces. In standard
Linear maps preserve the zero vector: for any linear transformation T: V → W, T(0) = 0. The
In summary, the nullvektor serves as the foundational additive identity in vector spaces, with a unique, well-defined