Vektorsumman
Vektorsumman, or the vector sum, is the result of adding two or more vectors in a vector space. For vectors u and v in R^n, with components u = (u1, ..., un) and v = (v1, ..., vn), their sum is u + v = (u1 + v1, ..., un + vn). The operation is defined by the axioms of a vector space and is both associative and commutative. The additive identity is the zero vector, and the additive inverse of a vector u is -u, since u + (-u) = 0.
Geometric interpretation often uses the parallelogram rule or the head-to-tail method. The magnitude of the sum
In coordinates, addition is performed component-wise, and the result remains in the same space. For a scalar
Common applications of vektorsumman appear across science and engineering. It is used to compute resultant forces
Example: if u = (2, 3) and v = (-1, 4), then u + v = (1, 7), with magnitude