Question

${ \boxed { \underline { \bf { \sf { \huge { \red { \mathfrak { Question :- } } } } } } } }$

State Parallelogram Law and Triangle Law of Vector Addition !
​

Answer 1

Answer:

If two vectors are represented by both magnitude and direction by two sides of a triangle taken in the same order then their resultant is represented by side of the triangle.

Answer 2

Addition oR Composition of Vectors

Scalar quantities can be added algebraically, but the vectors cannot be added by ordinary laws of algebra, as they have directions in addition to magnitudes. The vectors are added geometrically.

The process of adding two or more vectors is called addition or composition of vectors and the single vector obtained as a result of addition of vectors is called resultant vector.

There are three laws of vector additions. They are :

$\sf\:(i)~Triangle~law~of~vector~addition$

$\sf\:(ii)~Parallelogram~law~of~vector~addition$

$\sf\:(iii)~Polygon~law~of~vector~addition$

‎

Now let's see each of the laws individually.

‎

$\tt\:Triangle~Law~of~Vector~Addition~:$

The law states that,

$\sf\color{red}{⋆}$ If two vectors can be represented both in magnitude and direction by the two sides of a triangle taken in same order, then the resultant is represented completely, both in magnitude and direction, by the third side of the triangle taken in opposite order.

‎

‎

$\tt\:Parallelogram~Law~of~Vector~Addition~:$

The law states that,

$\sf\color{red}{⋆}$ If two vectors, acting simultaneously on a particle be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the resultant is represented completely both in magnitude and direction by the diagonal of the parallelogram passing through that point.

‎

$\tt\:Polygon~Law~of~Vector~Addition~:$

The law states that,

$\sf\color{red}{⋆}$ If a number of vectors can be represented both in magnitude and direction by the sides of an open convex polygon taken in the same order, then their resultant is represented completely in magnitude and direction by the closing side of the polygon taken in the opposite order.

══════════════════

Note : For more clarity on your answer please view the attachment !‎

‎