About Vectors and Cross Product

In mathematics and physics, a vector is a quantity that has both magnitude and direction. Vectors are often represented as arrows or as ordered triples like (x, y, z) in 3D space.

The cross product of two vectors, denoted as A × B, results in a new vector that is perpendicular to both A and B. It's commonly used in physics and engineering to compute torque, angular momentum, or normals to surfaces.

The formula for the cross product of vectors A = (a₁, a₂, a₃) and B = (b₁, b₂, b₃) is:

A × B = (a₂b₃ - a₃b₂)i - (a₁b₃ - a₃b₁)j + (a₁b₂ - a₂b₁)k
        

This calculator helps you compute the result quickly and accurately.