Cross product

The cross product is a mathematical operation on two vectors in three-dimensional space, producing a third vector that is perpendicular to both original vectors. Its magnitude (length) corresponds to the area of the parallelogram formed by the two vectors, and its direction is determined by the right-hand rule. This operation is useful in physics and engineering for finding normal vectors, calculating torque, and understanding rotational effects. Essentially, the cross product combines the directions and magnitudes of two vectors to produce a new vector that indicates a perpendicular orientation and the size of the area spanned.