Question

${\huge{\underline{\small{\mathbb{\pink{DERIVATION \ OF \ PARALLELOGRAM \ ?}}}}}}$​​

Answer 1

Answer:

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

Answer 2

Answer:

Derivation of the law

Let θ be the angle between P and Q and R be the resultant vector. Then, according to parallelogram law of vector addition, diagonal OB represents the resultant of P and Q. Now, expand A to C and draw BC perpendicular to OC. ... Direction of resultant: Let ø be the angle made by resultant R with P.