Difference between revisions of "Manuals/calci/DOTPRODUCT"

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*Dot product is also called Scalar Product.
 
*Dot product is also called Scalar Product.
 
*This product is an example of an Inner product.
 
*This product is an example of an Inner product.
*Dot product of  two vectors is defined as: <math>a=[a_1,a_2,a_3..a_n]</math> and <math>b=[b_1,b_2,b_3..b_n]</math> then <math>a.b= /sum_{i=1}^n a_{i}b_{i}= a_1b_1+a_2b_2+...a_nb_n</math> where <math>\Sigma</math> denotes summation notation and <math>n</math> is the dimension of the vector space.
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*Dot product is the algebraic operation which calculates with the two equal length values and gives the single value as result.
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*Here a and b are two set of values with any real numbers.
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*Also a and b are having same length of values.
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*Dot product of  two vectors is defined as:                                                                                       <math>a=[a_1,a_2,a_3..a_n]</math> and <math>b=[b_1,b_2,b_3..b_n]</math> then <math>a.b= \sum_{i=1}^n a_{i}b_{i}= a_1b_1+a_2b_2+...a_nb_n</math> where <math>\Sigma</math> denotes summation notation and <math>n</math> is the dimension of the vector space.
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==Examples==
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#DOTPRODUCT([3,6,9],[10,12,7]) = 165
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#DOTPRODUCT([2.5,5.9,6.25],[9,12,13.04]) = 174.8
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#DOTPRODUCT([-7,-3,5],[101,231,-432]) = -3560
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#DOTPRODUCT([2/3,8/6,10/3],[2,4,6]) = 26.666666666666664
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==Related Videos==
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{{#ev:youtube|v=KDHuWxy53uM|280|center|Dot Product}}
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==See Also==
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*[[Manuals/calci/CROSSPRODUCT  | CROSSPRODUCT  ]]
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*[[Manuals/calci/CARTESIANPRODUCT | CARTESIANPRODUCT  ]]
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*[[Manuals/calci/SCALARPRODUCT | SCALARPRODUCT  ]]
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==References==
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*[http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx  Dot Product]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 14:54, 12 December 2018

DOTPRODUCT(a,b)


  • and are any two set values.

Description

  • This function shows the Dot product of the given numbers.
  • Dot product is also called Scalar Product.
  • This product is an example of an Inner product.
  • Dot product is the algebraic operation which calculates with the two equal length values and gives the single value as result.
  • Here a and b are two set of values with any real numbers.
  • Also a and b are having same length of values.
  • Dot product of two vectors is defined as: and then where denotes summation notation and is the dimension of the vector space.

Examples

  1. DOTPRODUCT([3,6,9],[10,12,7]) = 165
  2. DOTPRODUCT([2.5,5.9,6.25],[9,12,13.04]) = 174.8
  3. DOTPRODUCT([-7,-3,5],[101,231,-432]) = -3560
  4. DOTPRODUCT([2/3,8/6,10/3],[2,4,6]) = 26.666666666666664

Related Videos

Dot Product

See Also

References