Question

State and prove Parallelogram law of vector addition.​

Answer 1

Explanation:

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.

Answer 2

Answer:

If two vectors are acting simultaneously at a point, then it can be represented both in magnitude and direction by the adjacent sides drawn from a point. Therefore, the resultant vector is completely represented both in direction and magnitude by the diagonal of the parallelogram