The Euclidean norm, also known as the L2 norm, is a mathematical concept used to measure the length or magnitude of a vector in a multi-dimensional space. It is calculated by taking the square root of the sum of the squares of its components. For example, in a two-dimensional space, the Euclidean norm of a vector (x, y) is given by \sqrtx^2 + y^2. This norm is widely used in various fields, including machine learning, physics, and computer graphics, as it provides a straightforward way to quantify distances between points. The Euclidean norm helps in optimizing algorithms and understanding geometric properties in Euclidean space.