Subject:  Linear Algebra

Cross product

An operation on two 3D vectors that produces a third vector perpendicular to both.

The cross product a × b is a vector with magnitude |a||b| sin θ, perpendicular to both a and b, with direction given by the right-hand rule. It is used to find normal vectors to planes and to compute areas and volumes.

Formula

|a × b| = |a||b| sin θ

See also