Difference between revisions of "Manuals/calci/DOTPRODUCT"

Revision as of 14:08, 3 March 2017

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 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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 *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.
+==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==
+*[[Manuals/calci/CROSSPRODUCT  | CROSSPRODUCT  ]]
+*[[Manuals/calci/CARTESIANPRODUCT | CARTESIANPRODUCT  ]]
+*[[Manuals/calci/SCALARPRODUCT | SCALARPRODUCT  ]]
+==References==
+[http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx | Dot Product]