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 .