Vektorunterschied

Vektorunterschied refers to the mathematical operation of subtracting one vector from another. Given two vectors, say vector A and vector B, the vector difference A - B is a new vector that results from this subtraction. Geometrically, the difference A - B can be visualized by placing the tails of vectors A and B at the same origin. The vector A - B then points from the head of vector B to the head of vector A. Alternatively, it can be understood as the vector that, when added to vector B, results in vector A.

The calculation of a vector difference is performed component-wise. If vector A has components (Ax, Ay, Az) and vector B has components (Bx, By, Bz), then the resulting vector difference, let's call it C, will have components (Cx, Cy, Cz) where Cx = Ax - Bx, Cy = Ay - By, and Cz = Az - Bz. This principle extends to vectors of any dimension. The concept is fundamental in various fields, including physics, engineering, and computer graphics, where it is used to represent relative positions, velocities, forces, and displacements. For instance, if vector A represents the position of point P1 and vector B represents the position of point P2, then A - B represents the vector pointing from P2 to P1.