Hi,

The vector product or cross product of two vectors is defined as another vector having a magnitude equal to the product of the magnitudes of two vectors and the sine of the angle between them. The direction of the product vector is perpendicular to the plane containing the two vectors, in accordance with the right hand screw rule or right hand thumb rule.

Properties Of Vector Product:

1) The order in which we perform the calculation matters, as a x b and b x a, are opposite to each other. Therefore, the vector product is not commutative.

2) The vector product is always distributive over addition.

Hope it helps.

A vector product or cross product is the product of two vectors in three dimension which is itself a vector at right angle to the both original vectors. Its magnitude is the product of magnitudes of the original vectors and the sine of the angles between their directions. It is denoted by axb or a^b.

properties

Properties : (1) Cross product does not obey commutative law. But its magnitude obey's commutative low.

(2) It obeys distributive law

(3) The magnitude cross product of two vectors which are parallel is zero. Since θ = 0; vector|A x B| = AB sin 0° = 0

(4) For perpendicular vectors, θ = 90°, vector|A x B| = AB sin 90° |cap n| = AB

for more you can check on youtube and your reference books