Manuals/calci/SCALARPRODUCT

SCALARPRODUCT(a,b)

DOTPRODUCT(a,b)

• $a$ and $b$ are any two set values.

Description

• This function shows the Scalar product value.
• In $DOTPRODUCT(a,b)$ or $SCALARPRODUCT(a,b)$,$a$ and $b$ 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 $a=[a_{1},a_{2},...,a_{n}]$and $b=[b_{1},b_{2},...,b_{n}]$ is defined as:

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

Examples

1. SCALARPRODUCT([2,3,4],[9,8,7]) = 70
2. SCALARPRODUCT([3.2,4.5,10.3],[4,8,4.3]) = 93.09
3. SCALARPRODUCT([-6,-15,21],[32.3,19.3,20.3]) = -56.99999999999994

Related Videos

Scalar Product

See Also

• CROSSPRODUCT
• CARTESIANPRODUCT
• DOTPRODUCT

References

• Dot Product

• List of Main Z Functions
• Z3 home