College Algebra Complex Numbers Operations with Complex Numbers
Multiplication
   Interactive Example 1

If   and   , find z1 · z2.

z1=x1+iy1
x1   
y1   
z2=x2+iy2
x2   
y2   
Solution 1

By the definition,

z1 · z2 =  
  =  
Solution 2

By formally manipulating the terms as if they involved only real numbers and by replacing i2 by -1 when it occurs,
z1 · z2 =  
  =  
  =  
  =  


Copyright © 1998-2001 MathAid, LLC. All rights reserved.