Dot Product- Vector

The other topic for discussion is that of the dot product.  Let us jump right into the definition of dot product. There is given that the two vectors a^→ = (a₁, a₂, a₃) and b^→ = (b₁, b₂, b₃) the dot product is

a^→• b^→ = a₁b₁ + a₂b₂ + a₃b₃ (1)

 Occasionally the dot product is known as the scalar product.  The dot product is as well an instance of an inner product and thus on occasion you may hear it called an inner product.