vektorlengde
Vektorlengde, often referred to as the magnitude of a vector, is a fundamental concept in linear algebra and physics. It represents the scalar size or length of a vector in a given vector space. For a vector v = (v1, v2, ..., vn) in n-dimensional Euclidean space, its length, typically denoted as ||v||, is calculated using the Pythagorean theorem. The formula for the vector length is the square root of the sum of the squares of its components: ||v|| = sqrt(v1^2 + v2^2 + ... + vn^2).
In two dimensions, for a vector v = (x, y), the length is ||v|| = sqrt(x^2 + y^2). In