WHAT IS PARALLALOGRAM LAW OF VECTORS ???
EXPLAIN WITH EXAMPLES..
Answers
Answer:
Parallelogram Law of vectors
If two vectors are acting simultaneously at a point, then it can be represented both in magnitude and direction by the adjacent sides drawn from a point. ... According to the parallelogram law, the side OC of the parallelogram represents the resultant vector R.
According to the Parallelogram law of vector addition, if two vectors \vec{a} and \vec{b} represent two sides of a parallelogram in magnitude and direction, then their sum \vec{a} + \vec{b} = the diagonal of the parallelogram through their common point in magnitude and direction.
Answer:
In mathematics, the simplest form of the parallelogram law belongs to elementary geometry. It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals. We use these notations for the sides: AB, BC, CD, DA
example
Answer : According to the Parallelogram law of vector addition, if two vectors \vec{a} and \vec{b} represent two sides of a parallelogram in magnitude and direction, then their sum \vec{a} + \vec{b} = the diagonal of the parallelogram through their common point in magnitude and direction.