query: What is the Euclidean inner product intuition?
positive_passages.docid: 19964
positive_passages.text: What does the dot product of two vectors represent?
negative_passages.docid: 102317
negative_passages.text: Is there a geometrical interpretation to the notion of eigenvector and eigenvalues?
negative_passages.docid: 92746
negative_passages.text: $\Delta \mathbf n = -2 \mathbf n$ on the Euclidean sphere
negative_passages.docid: 56396
negative_passages.text: Moment generating function of the inner product of two gaussian random vectors
negative_passages.docid: 69893
negative_passages.text: An inner product space and its proper closed subspace with trivial orthogonal complement
negative_passages.docid: 57660
negative_passages.text: Biliniear form to inner product
negative_passages.docid: 83360
negative_passages.text: The completion of a separable inner product space is a separable Hilbert space
negative_passages.docid: 115295
negative_passages.text: Why are the two dot product definitions equal?
negative_passages.docid: 38547
negative_passages.text: Why does the Euclidean algorithm for finding GCD work?
negative_passages.docid: 18839
negative_passages.text: Proof about inner product space $\vert \langle x,y\rangle \vert=\Vert x \Vert\Vert y \Vert$
negative_passages.docid: 60934
negative_passages.text: What is a complex inner product space "really"?
negative_passages.docid: 94047
negative_passages.text: How I could define a inner product in the characters in $SL(2, \mathbb R)$
negative_passages.docid: 15199
negative_passages.text: What is the use of the Dot Product of two vectors?
negative_passages.docid: 105345
negative_passages.text: Intuition for the exponential of a matrix
negative_passages.docid: 88153
negative_passages.text: Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal
negative_passages.docid: 53661
negative_passages.text: Intuition surrounding units in $R[x]$
negative_passages.docid: 42361
negative_passages.text: Why do we use the Euclidean metric on $\mathbb{R}^2$?