There are two types of the multiplication of two vectors:
- Scalar product OR dot product
- Vector product OR cross product
Type of multiplication of two vectors in which the product is a scalar quantity is referred to as “scalar product OR dot product”
Mathematical representation of scalar product
Consider two vectors and making an angle q with each other. Their scalar product or dot product is defined as:
Scalar product of two vectors and is a scalar quantity which is equal to the
product of the magnitudes of and the cosine of the angle between them.
When we multiply two vector quantities force and displacement we get work which is a scalar quantity. Therefore, we can say that work is the scalar product or dot product of force and displacement.
When we multiply two vector quantities electric intensity and normal area we get electric flux which is a scalar quantity. Therefore, we can say that electric flux is the scalar product or dot product of electric intensity and normal area
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