Manuals/calci/DOTPRODUCT

DOTPRODUCT(a,b)

• $a$ and $b$ are any two set values.

Description

• 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.

Examples

1. DOTPRODUCT([3,6,9],[10,12,7]) = 165
2. DOTPRODUCT([2.5,5.9,6.25],[9,12,13.04]) = 174.8
3. DOTPRODUCT([-7,-3,5],[101,231,-432]) = -3560
4. DOTPRODUCT([2/3,8/6,10/3],[2,4,6]) = 26.666666666666664

See Also

• CROSSPRODUCT
• CARTESIANPRODUCT
• SCALARPRODUCT

References

• Dot Product

• List of Main Z Functions

• Z3 home