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  • Norm and length

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  • Definition of norm/length of a vector
  • Definition of unit vector
  • The inner product of a vector with itself is the square of its norm/length.
  • Definition of distance
  • The triangle inequality
  • The Cauchy–Schwarz inequality
  • Definition of length/norm of a vector
  • Definition of distance between vectors
  • The Cauchy-Schwarz inequality
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  1. Definition of length/norm of a vector

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  • Definition of norm/length of a vectorClose match
  • Norm and lengthClose match
  • The inner product of a vector with itself is the square of its norm/length.Close match
  • Definition of distance between vectorsClose match
  • The triangle inequalityClose match
  • The standard inner product of a vector with itself is non-negativeClose match
  • Definition of unit vectorClose match
  • The Cauchy-Schwarz inequalityClose match
  • Definition of distanceClose match
  • Definition of inner productClose match
  • Inner productsRelated
  • The Cauchy–Schwarz inequalityRelated
  • Geometric properties of R^n (or C^n)Related
  • Definition of parallel vectorsRelated
  • Definition of orthogonal vectorsRelated
  • Definition of angle between vectorsRelated
  • Definition of orthonormal set of vectorsRelated
  • Definition of vector additionRelated
  • Definition of dimension of a vector space (or subspace)Related
  • Definition of orthogonal set of vectorsRelated

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