Question

State and prove parallelogramo low of vector addition​

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