Parallelogram Law Of Vector Addition

Addition of vectors

Parallelogram law of vector addition

According to the parallelogram law of vector addition:
“If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors.”

Explanation

Consider two vectors and .
Let the vectors have the following orientation

parallelogram of these vectors is :

According to parallelogram law:

Magnitude Of resultant Vector
Magnitude of resultant vector can be determined by using either sine law or cosine law.