Trinity College Dublin
 
Search for: in  
You are here: Home / Category Index / Complex Numbers / Multiplication And Division

Multiplication And Division - By Aisling Francis

How to use this applet:

The user enters the real and imaginary parts of two complex numbers in the labelled text boxes. The real and imaginary parts are entered in seperate boxes. The user then chooses to use either the muliplication or division buttons provided to view the answer which is printed at the bottom of the screen as well as labelled on the graph. The reset button clears all the text fields as well as the graph.

Notes on the maths used in the applet:

Multiplication of two complex numbers: (a + bi) * (x + yi) Real Part:(ax - by)(minus as a result of i^2) Imaginary part: (ay + bx) Division of two complex numbers: (using conjugate of second number) (a + bi) / (x + yi) Real part:(ax + by)/(x*x + y*y) Imaginary part:(bx - ay)/(x*x + y*y)