Manuals/calci/DOTPRODUCT
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DOTPRODUCT(a,b)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} 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 of two vectors is defined as: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a=[a_1,a_2,a_3..a_n]} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b=[b_1,b_2,b_3..b_n]} then Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a.b= \sum_{i=1}^n a_{i}b_{i}= a_1b_1+a_2b_2+...a_nb_n} where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Sigma} denotes summation notation and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} is the dimension of the vector space.
Examples
- DOTPRODUCT([3,6,9],[10,12,7]) = 165
- DOTPRODUCT([2.5,5.9,6.25],[9,12,13.04]) = 174.8
- DOTPRODUCT([-7,-3,5],[101,231,-432]) = -3560
- DOTPRODUCT([2/3,8/6,10/3],[2,4,6]) = 26.666666666666664
See Also
References