In mathematics there are basic operations like addition, subtraction, multiplication and division. Multiplication can also be known as the product of numbers. The numbers can be natural numbers, whole numbers, integers, and real numbers and so on. So, the product of two numbers is nothing but the multiplication of two numbers.
There are different types of quantities in mathematics. There are some which have magnitude and there are some which can have both a magnitude and direction as well. Different names have been allotted to these numbers. The former ones are known as scalars and the latter ones are known as the vectors.
The difference between the two is only about the direction they possess. The scalars do not have a direction attached to them. So, they can be handled more easily than the vectors or carrier. Since they have a direction attached to them a sign is used to represent the direction. This sign shows the difference in direction of two quantities of similar nature.
There is a concept in mathematics called the triple product. From the name itself it is understood three products or three quantities are involved in the operation. Now this can be carried out between scalar quantities or the carriers. Depending on the type of the quantities present in the operation the name of the product changes.
The triple vector product is nothing but an operation in which two cross-products are used. There are three of these are involved. The cross products between the first one and then the second and third are taken together. The vector triple product proof can be given mathematically. Even it can be represented geometrically. The triple vector product proof is easy to understand and requires the basic understanding of addition and subtraction.
A vector triple product example will explain the concept and make it clearer. The examples always make the concept easy to understand. Even difficult examples can be made easy with the help of examples. In geometry there exists a figure known as the parallelepiped.
When the scalar triple product is found out it helps in finding the volume of this geometrical figure. There is geometrical meaning attached to this type of product. It must be carefully understood. The scalar triple product can have different values. The values have different meanings. If it is found to be zero, then the volume of parallelepiped is found to be zero
No comments:
Post a Comment