To calculate this combined effect precisely, we use the parallelogram law of vector addition. This law allows us to determine the single vector, called the resultant vector, that has the same effect as the two given vectors acting simultaneously. In this article, we will focus on vector addition. We will learn about the triangle law and parallelogram law along with the commutative and associative properties of vector addition. Learn the parallelogram law of addition, which states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the two diagonals. Also, find out how to apply the law to vectors and how to prove it using trigonometry. Parallelogram Law of Vector Addition states that that when two vectors represented as the two adjacent sides of a parallelogram with their tails meeting at the common point, then the diagonal of the parallelogram originating from the common point will be the resultant vector.
