In the cross product, the relationship vectorA*B = -(vectorB*A) arises from the orientation of the vectors and the right-hand rule. When vector A is rotated towards vector B, the right-hand rule indicates an upward direction for the resulting vector. Conversely, rotating vector B towards vector A results in a downward direction, confirming the negative sign in the equation. The right-hand rule is crucial for determining the direction of the resultant vector in the cross product. Understanding this concept is essential for applying the definition of cross product effectively.
