Every space with this operation is a Banach space since this operation defines the norm or "length" of vectors, and these are generalized to integrals in Hilbert spaces, or vector spaces of functions. In a Euclidian vector space, this is the sum over
Every space with this operation is a Banach space since this operation defines the norm or "length" of vectors, and these are generalized to integrals in Hilbert spaces, or vector spaces of functions. In a Euclidian vector space, this is the sum over two vectors of the products of their like components. For ten points, name the multiplication operation that, for two vectors a and b, is equal to the magnitude of a times the magnitude of b times the cosine of the angle between them.
Every space with this operation is a Banach space since this operation defines the norm or "length" of vectors, and these are generalized to integrals in Hilbert spaces, or vector spaces of functions.
{dot product} (or {scalar product} or {inner product}; accept {norm} before it’s mentioned)