Linear Algebra

Vector Product

Given two vectors the vector product and its magnitude are calculated.

The vector product is a vector orthogonal to the parallelogram which is put up by the given vectors. Its magnitude is equal to the area of the parallelogram.

Example:

     ->  | 1 |     ->  | 7 |
     a = | 2 |     b = | 1 |
         | 3 |         | 4 |

 ->  ->  |  5 |    ->  ->  
 a x b = | 17 |   |a x b|= 21,977261
         |-13 |

See also:

Wikipedia: Cross product
eng.matheass.eu