Vector Rejection Calculator

Find the vector component of vector A that is perpendicular to vector B.

Input Vectors

Enter vectors A and B in the format [x, y, z]. For 2D vectors, use [x, y].

Vector A

Vector to be rejected

Vector B

Vector from which to project

Rejection Vector

Vector Visualization

Understanding Vector Rejection

Vector rejection is the component of a vector that is perpendicular to another vector. In simpler terms, if you have two vectors, say Vector A and Vector B, the rejection of Vector A from Vector B is what's left of Vector A after you subtract the part of Vector A that goes in the direction of Vector B.

Mathematically, the rejection of vector A from vector B is calculated using the formula:

Rejection of A from B = A

B - Projection of A onto B

This tool helps you calculate this vector rejection quickly and visualize it, making it easier to understand vector relationships in linear algebra and geometry. It's useful in fields like physics, engineering, and computer graphics where vector analysis is crucial.

For further reading, you can refer to resources on linear algebra and vector projections.