Difference between revisions of "Manuals/calci/DOTPRODUCT"

Latest revision as of 13:54, 12 December 2018

DOTPRODUCT(a,b)

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: $a=[a_{1},a_{2},a_{3}..a_{n}]$ and $b=[b_{1},b_{2},b_{3}..b_{n}]$ then $a.b=\sum _{i=1}^{n}a_{i}b_{i}=a_{1}b_{1}+a_{2}b_{2}+...a_{n}b_{n}$ where $\Sigma$ denotes summation notation and $n$ is the dimension of the vector space.

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 *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:                                                                                        <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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 #DOTPRODUCT([-7,-3,5],[101,231,-432]) = -3560
 #DOTPRODUCT([2/3,8/6,10/3],[2,4,6]) = 26.666666666666664
+==Related Videos==
+{{#ev:youtube|v=KDHuWxy53uM|280|center|Dot Product}}
 ==See Also==
@@ Line 20: / Line 27: @@
 ==References==
-[http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx | Dot Product]
+*[http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx  Dot Product]