## 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 |

### Application:

Assume the area of the triangle with corners A(0|0|0), B(1|2|3) and C(7|1|4) is to be calculated.

The triangle is half of the parallelogram that is spanned by the two vectors in the example.
Its area is therefore half of their vector product A ≈ 11 FE.

### See also:

Wikipedia: Cross product