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LECTURES IN BASIC COMPUTATIONAL NUMERICAL ANALYSIS
web.engr.uky.eduIn the case of Euclidean spaces, we can define another useful object related to the Euclidean norm, the inner product (often called the “dot product” when applied to finite-dimensional vectors). Definition 1.3 Let S be a N-dimensional Euclidean space with v,w ∈ S. Then hv,wi ≡ XN i=1 viwi (1.4) is called the inner product.