The cross product of two vectors, **c** =
**a × b** has the following properties:

- Magnitude: c = a b sin θ
- The direction of
**c**is perpendicular to the plane spanned by**a**and**b**and is determined by the right-hand rule. - Non-commutative:
**a × b**= -**b × a** - Algebraic formula:

**c**=**a × b**= (a_{y}b_{z}- b_{y}a_{z}) + (a_{z}b_{x}- b_{z}a_{x}) + (a_{x}b_{y}- b_{x}a_{y})