State
the
law of Parallelogram
And Explain
addition ?
of vector
Answers
The law of Parallelogram:-
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) 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.
Explain addition ? of vector:-
The so-called parallelogram law gives the rule for vector addition of two or more vectors. For two vectors A and B, the vector sum A+B is obtained by placing them head to tail and drawing the vector from the free tail to the free head. In Cartesian coordinates, vector addition can be performed simply by adding the corresponding components of the vectors, so if A=(a_1,a_2,...,a_n) and B=(b_1,b_2,...,b_n),
A+B=(a_1+b_1,a_2+b_2,...,a_n+b_n).