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Dot product (view source)

Revision as of 03:40, July 5, 2018

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In the <math>n</math>-dimensional [[Euclidean vector space]] <math>\mathbb{R}^n</math>, the '''dot product''' is defined for two [[vector]]s <math>\vec{x} =
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In the <math>n</math>-dimensional Euclidean vector space <math>\mathbb{R}^n</math>, the '''dot product''' is defined for two [[vector]]s <math>\vec{x} =
 
\langle x_1, \ldots, x_n \rangle</math> and <math>\vec{y} = \langle y_1, \ldots, y_n \rangle</math> as follows:
 
\langle x_1, \ldots, x_n \rangle</math> and <math>\vec{y} = \langle y_1, \ldots, y_n \rangle</math> as follows:
  
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