Difference in inner product and dot product
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More generally, an inner product is a function that takes in two vectors and gives a complex number, subject to some conditions. In my experience, inner product is defined on vector spaces over a field K (finite or infinite dimensional). Dot product refers specifically to the product of vectors in Rn, however.
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=> An inner product is the more general term which can apply to a wide range of different vector spaces. ... The dot product is the name given to the inner product on a finite dimensional Euclidean space. For such a space all terms mean the same thing but it might be better to us one term or another in different contexts.
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