The interpunct symbol also refered to as middle dot, dot product symbol, or center dot is used in mathematics to represent the multiplication operator and the dot product operator. For example, when working with numbers, the interpunct symbol is used in an expression like this:
In plain language, this expression means three multiplied by five. On the other hand, if the symbol is placed between two vectors, then it represents the dot product operation.
Multiplication is a basic arithmetic operation performed on two numbers. Multiplying a number by another number is the same as taking n groups of the other number.
The dot product operates on two vectors and produces another vector as a result.