Why cross product does not obey commutative property?

Answer 1

The cross product of two vectors is defined as a × b sinθn Where the direction of Cross product is given by the right hand rule of cross product. According to which stretch the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb will represent the direction. As direction of a × b is not same to b × a. So it does not obey commutative law.