What I explained above is a kind of geometric meaning (graphical meaning) of Inner product. Equation (3) is the form representing the inner product as a multiplicationĬan I do Inner Product for any two vectors ? Equation (2) would not shows you any idea of visualization, but it gives you a way of calculating the inner product with very simple multiplication and sums(Equation (2) would be the most common ways to calculate the inner product in most of the application). Equation (1) gives you the geometric meaning of inner product. There are several different ways of representing/calculating the inner product. it gives the degree of the correlation between two vectorsįor more detailed descriptions of the application, see the last section ( Applied meaning of Vector Inner Product) and read the whole pages if you are interested in how the vector inner product can indicate this kind of information.it gives the angle between the two vectors.Actually the most important application of inner product are Inner Product is a kind of operation which gives you the idea of angle between the two vectors.

The geomatrc meaning of Inner Product is as follows. Applied meaning of Vector Inner Product.Can I do Inner Product for any two vectors ?.Basically Innerproduct is fundamental operation for what I explains in Sum of Times (Sum of Multiplication) page. Sometimes it is used because the result indicates a specific mathemaatical or physical meaning and sometimes it is used just because it simplifies the mathematical representation. This may be one of the most frequently used operation in mathematics (especially in engineering math). Ii) sum all the numbers obtained at step i) I) multiply two data set element-by-element Inner Product is a mathematical operation for two data set (basically two vector or data set) that performs following

Dot product of vector 2d and vector 3d