Further detail about this can be seen here. Hereof, what is the inner product of vectors?
An inner product is a generalization of the dot product. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar. More precisely, for a real vector space, an inner product satisfies the following four properties.
Secondly, what is the standard inner product? The vector space Rn with the dot product u · v = a1b1 + a2b2 + ??? + anbn, The vector space Rn with this special inner product (dot product) is called the Euclidean n-space, and the dot product is called the standard inner product on Rn.
People also ask, what is the inner product of two functions?
To take an inner product of functions, take the complex conjugate of the first function; multiply the two functions; integrate the product function.
Why is it called inner product?
The terminology "inner products" is firstly referred to the "Inneren Produkten je zweier paralleler Strecken" (inner product of any 2 parallel line segments) and then extended to non-parallel ones.
