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.