You are not logged in.
#1 2008-12-14 19:48:26
- ganesh
- Moderator
Offline
Complex Numbers - Pre University level I
1. What are the Real and Imaginary parts of the number 4 -i√3.
2. What is the conjugate of
3. If z=2 - i√3, then what is the value of
?
4. Express the following complex number in the forma + ib.
5. Find the real and imaginary parts of
.
6. If
,
find the conjugate of .
Character is who you are when no one is looking.
#2 2008-12-20 13:49:47
- glenn101
- Full Member
Offline
Re: Complex Numbers - Pre University level I
1.
real part is 4
complex part is -i√3.
2.
the conjugate is
1/2+1/2*i
4.
5+5i 3+4i
------*------
3-4i 3+4i
= 15+20i+15i+20i^2
--------
25
= 15-20+20i+15i
-------
25
= -5+35i
------
25
= -1 7
---+---*i
5 5
Thats all I can do with my complex knowledge:)
"If your going through hell, keep going."
#3 2008-12-20 21:45:57
- ganesh
- Moderator
Offline
Re: Complex Numbers - Pre University level I
glenn101,
Your answers are all correct,
the only trivial mistake I noticed is in answer to 1, where when the real and imaginary parts are said, the imaginary part shouldn't include 'i'.
Well done!!! 
Character is who you are when no one is looking.
#4 2008-12-29 15:07:30
- careless25
- Real Member
Offline
Re: Complex Numbers - Pre University level I
4. (-5 + 35i)/ 25
-0.2 + 1.4i
Edit: Oops!
Last edited by careless25 (2008-12-31 03:23:35)
#5 2008-12-29 15:55:08
- ganesh
- Moderator
Offline
Re: Complex Numbers - Pre University level I
A minor mistake, careless25. Please try and post the correct answer.
Character is who you are when no one is looking.