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 a.b= | + | *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. |
Revision as of 13:54, 3 March 2017
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.