Difference between revisions of "Manuals/calci/IMPRODUCT"

Revision as of 01:12, 20 December 2013

IMPRODUCT(z1,z2,z3)

This function gives the product of the complex numbers.
In IMPRODUCT(z1,z2,z3,…), where z1,z2,z3,... are the complex numbers and is in the form of $a+ib$ .
where $a$ & $b$ are the real numbers. $i$ is the imaginary unit . $i={\sqrt {-1}}$ .
The multiplication of two complex numbers is a complex number.
Let $z1=a+ib$ and $z2=c+id$ .
Then the product of two complex number is $z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i$ .
In this function $z1$ is required. $z2,z3,...$ are optional.
We can use COMPLEX function to convert real and imaginary number in to a complex number.

=IMPRODUCT("1+3i","5+2i") = -1+17i
=IMPRODUCT("i","3-i") = 1+3i
=IMPRODUCT("5","-2+4i") = -10+20i
=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
=IMPRODUCT("-6-2i","-1-i") = 4+8i

@@ Line 4: / Line 4: @@
 *This function gives the product of the complex numbers.
 *In IMPRODUCT(z1,z2,z3,…), where z1,z2,z3,... are the complex numbers and is in the form of <math>a+ib</math>.
-*where <math>a</math> & <math>b</math> are the real numbers.<math>i</math>is the imaginary unit .<math>i=\sqrt{-1}</math>.
+*where <math>a</math> & <math>b</math> are the real numbers. <math>i</math> is the imaginary unit .<math>i=\sqrt{-1}</math>.
 *The multiplication of two complex numbers is a complex number.
 *Let <math>z1=a+ib</math> and <math>z2=c+id</math>.