A cross product results in a vector that has a direction that is perpendicular to both vectors and a magnitude that is equal to the parallelogram with side lengths equal to the magnitudes of the two vectors and a skew equal to the angle between the vectors. Another way of thinking is that it, conversely to the dot product, tells one how 'perpendicular' the two vectors are. The larger the magnitude of the cross product between two unit vectors, the larger the angle between the vectors (up to 90 degrees) in a given plane (the more perpendicular they are).