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<div style="font-size:30px">'''SCALARPRODUCT(a,b)'''</div><br/>
<div style="font-size:30px">'''DOTPRODUCT(a,b)'''</div><br/>
<div style="font-size:30px">'''DOTPRODUCT(a,b)'''</div><br/>
*<math>a</math> and <math>b</math> are any two set values.
*<math>a</math> and <math>b</math> are any two set values.
==Description==
*This function shows the Scalar product value.
*In <math>DOTPRODUCT(a,b)</math> or <math>SCALARPRODUCT(a,b)</math>,<math>a</math> and <math>b</math> are two set of values with same length.
*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.
*The dot product of two vectors <math>a = [a_1, a_2, ..., a_n]</math>and <math>b = [b_1, b_2, ..., b_n]</math> is defined as:
<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==
#SCALARPRODUCT([2,3,4],[9,8,7]) = 70
#SCALARPRODUCT([3.2,4.5,10.3],[4,8,4.3]) = 93.09
#SCALARPRODUCT([-6,-15,21],[32.3,19.3,20.3]) = -56.99999999999994
==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]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]