Question

prove that the parallelogram law in physics
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Answer 1

Parallelogram law states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the length of the two diagonals. In Euclidean geometry, it is necessary that the parallelogram should have equal opposite sides.

Parallelogram Law

If ABCD is a parallelogram, then AB = DC and AD = BC. Then according to the definition of the parallelogram law, it is stated as

2(AB)2 + 2 (BC)2 = (AC)2 + (BD)2.

In case the parallelogram is a rectangle, then the law is stated as:

2(AB)2 + 2 (BC)2 = 2(AC)2

Because in rectangle, two diagonals are of equal lengths. i.e., (AC = BD)

hope it helps

Answer 2

Answer:

If two vectors acting simultaneously on a particle are represented in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then their resultant is completely represented in magnitude and direction by the diagonal of that parallelogram drawn from that point.