Definition of parallelogram law. : a law in physics: the resultant of two vector quantities represented in magnitude, direction, and sense by two adjacent sides of a parallelogram both of which are directed toward or away from their point of intersection is the diagonal of the parallelogram through that point.
Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.
the dot product of two vectors will be equal to the cosine of the angle between the vectors, times the lengths of each of the vectors.
the cross product of two vectors will be equal to the sineof the angle between the vectors, times the lengths of each of the vectors.