Question

1. Define parallelogram law of vector addition?

2. Prove triangula law of vector addition using analytical method?

3. Define and prove polygon law of vector addition?

Answer 1

1) If two vectors of the same type starting from the same point are represented in magnitude and direction by two adjacent sides of the parallelogram, then there resultant vectors is given in magnitude and direction by the diagonal of the parallelogram starting from the same point.

2) if two given vectors represented the same physical quantity,, are drawn in sequence, regardless of orders but preserving their magnitude & direction .to from two sides of a triangle then the vectors drawn from the tail of
,the first vector to the head of the second vector completing the triangle represented the resultant of the two given vectors .
a vectors is not changed by translation parallel to itself. preserving the direction of the two given vectors P & Q, the tail of one vector is joined to the head of the other regardless of the orders, as then arrew from the tail of the first vector to the head of the second gives the resultant R = P+ Q in magnitude and direction.

3) if several given vectors representing the same physical quantity, are drawn in sequence regardless of orders but preserving their magnitude and direction, to form the side of a polygon, then the vectors drawn from the tail of the first vector to the head of the last vector completing the polygon represents the resultant of the given vectors.
let A, B, C be the vectors to be added. then, as they are drawn in sequence preserving their magnitude and direction. the vectors D drawn from the tail of A to the tip of C, complete the polygon and represent the resultant of A ,
B & C .
D = A + B + C.

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..."

____________________________________________________

<Judge It Yourself...>

Hope it helps you! ヅ

✪ Be Brainly ✪