Introduction
We use the words work, energy and power in our day-to-day life often.
However, their meaning differ from the meaning we get from scientific definitions.
Scalar product
o The scalar product or dot product of any two vectors A and B, denoted as A. B( Read A dot B) is defined as, where q is the angle between the two vectors. o
o
A, B and cos θ are scalars, the dot product of A and B is a scalar quantity. Both vectors, A and B, have a direction but their scalar product does not have a direction.
B is the product of the magnitude of A and the component of B along A. Alternatively, it is the product of the magnitude of B and the component of A along B.
o B = B. A, i. e. Scalar product is commutative. o( B + C) = A. B + A. C, i. e. Scalar product is distributive. o Further, λ A.( λ B) = λ( A. B) where λ is a real number.