# Cross Product Operator

Cross product operator, abbreviated as x, also called vector product, is the cross product of two vectors. It is a binary operation that takes two vectors as input and returns a third vector that is perpendicular to both of the input vectors.

The cross product operator is important in the study of vector calculus and the analysis of 3D geometry and mechanics. It is also used in many fields of science and engineering, including electromagnetism, fluid dynamics, and robotics.

## Cross Product Operator formula |
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\( A \; B \;=\; \left| A \right| \; \left| B \right| \; sin(\theta) \; n \) | ||

Symbol |
English |
Metric |

\( \left| A \right|\) and \(\left| B \right| \) = the magnitudes of vector A and B | \(dimensionless\) | \(dimensionless\) |

\( \theta \) = the angle between vectors A and B | \(deg\) | \(rad\) |

\( n \) = a unit vector perpendicular to both A and B | \(dimensionless\) | \(dimensionless\) |