2.9. Vector product of vectors and its properties

A vector c satisfying the conditions:
one)
2)
3) vectors a, b, c form the right three of vectors - called the vector product of vectors and is denoted by:

A vector product has the properties:
one) ;
2) ;
3) ; α is a real number;
four) equal to the area of ​​the parallelogram built on the vectors a, b ;
5) if and then .