In mathematics, the cross product or vector product is a binary operation on two vectors in three-dimensional space \mathbb {R} ^{3}, and is denoted by the symbol \times. Wikipedia

= | length of vector A | |

= | length of vector B | |

= | angle between A and B | |

= | unit vector perpendicular to the plane containing a and b |

We can use these properties, along with the **cross product** of the standard unit vectors, to write the **formula** for the **cross product** in terms of components. Since we know that i×i=0=j×j and that i×j=k=−j×i, this quickly simplifies to a×b=(a1b2−a2b1)k=|a1a2b1b2|k.

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