Manuals/calci/IMPRODUCTTWO

IMPRODUCTTWO(Complexnumber1,Complexnumber2)

• $Complexnumber1$ and $Complexnumber2$ are two complex numbers of the form $z=a+ib$.
  • IMPRODUCTTWO(),returns the product of two complex numbers.

Description

• This function gives the product of two complex numbers.
• Complex number is indicated as $z=a+ib$, where $a$ & $b$ are the real numbers, and $i$ is the imaginary unit. $i={\sqrt {-1}}$.
• In this function $Complexnumber1$ and $Complexnumber2$ are compulsory arguments.
• The multiplication of two complex numbers is a complex number.
• Let $z1=a+ib$ and $z2=c+id$. Then the product of two complex numbers is $z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i$.
• We can use COMPLEX function to convert real and imaginary number in to a complex number.

ZOS

• The syntax is to calculate product of the complex numbers in ZOS is $IMPRODUCTTWO(Complexnumber1,Complexnumber2)$
  • $Complexnumber1,Complexnumber2$ are two complex numbers of the form $z=a+ib$
• For e.g., IMPRODUCTTWO("2+3i","4+5i")

Improduct

Examples

1. =IMPRODUCTTWO("1+3i","5+5i") = -10+20i
2. =IMPRODUCTTWO("i","3-i") = 1+3i
3. =IMPRODUCTTWO("5","-2+4i") = -10+20i
4. =IMPRODUCTTWO("2+3i","4+6i","3+5i") = -10+24i
5. =IMPRODUCTTWO("-6-2i","-1-i","5+6i") = 4+8i

Related Videos

IMPRODUCT

See Also

• IMSUMTWO
• IMREAL
• IMSUM
• IMAGINARY
• COMPLEX

References

• Imaginary number
• Dot product

• List of Main Z Functions

• Z3 home