Question

prove polygon law of vector addition ​

Answer 1

Answer:

ANSWER

- 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).

solution

Answer 2

★☆〖Qบęຮτ ı¨ ø nˇ〗☆★

The Triangle Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two sides of a triangle taken in order, then the third side taken in the reverse order gives the resultant of two vectors both in magnitude and direction..."

The Parallelogram Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two adjacent sides of a parallelogram with origins at the intersection, then the diagonal from the point of intersection gives the resultant of the two vectors, both in magnitude and direction..."

The Polygon Law of Vector Addition states that "If a number of vectors can be represented as the sides of a polygon taken in order, both in magnitude and direction, then the side which completes the polygon taken in the reverse order, gives the resultant of all the original vectors both in magnitude and direction..."

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