Question

an illustration of using parallelogram law of vector addition is _______ ​

Answer 1

- Parallelogram law of vector addition states that

if two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors.

Proof:

Let  

A

 and  

B

 are the two vectors be represented by two lines  

OP

 and  

OQ

​

 drawn from the same point. Let us complete the parallelogram and name it as OPTQ. Let the diagonal be  

OT

.

Since  

PT

 is equal and parallel to  

OQ

​

, therefore, vector  

B

 can also be represented by  

PT

.

Applying the triangle's law of vector to triangle OPT.

OT

=  

OP

+  

PT

 

⇒  

R

=  

A

+  

B

.

(proved).