- Thread starter
- #1
a) first of all you have to rationalize the function \(\displaystyle 1/(x+iy)\).....that means you you should remove the i term from \(\displaystyle x+iy\) in the denominator .... do you now how to do that?...multiply it with \(\displaystyle x-iy\) and see the resultz1 = −11+2 i and z2 = −1+13 i are given
I need to find the following in the form x + y i.
/z1 =
/z1z2=
z1/z2 =
a) how would i go about it
and
b) can someone provide the solutions to the questions if possible
The first two "things" you need to do are unreadable, please fix them.z1 = −11+2 i and z2 = −1+13 i are given
I need to find the following in the form x + y i.
/z1 =
/z1z2=
z1/z2 =
a) how would i go about it
and
b) can someone provide the solutions to the questions if possible
Assuming you mean $\frac{1}{z_1}$, multiply both sides of the fraction by the complex conjugate of the denominator $z_1$. This'll give you a real denominator and you can split the fraction into real and imaginary parts then.I have got just got the solution to the third one. However i cant work out the solution to the first two conjugate equations. Can you provide the answer to the first one? or at least how to solve it
Now that you have made your questions readable, you should know that the conjugate of a complex number is defined as having the same real part and the negative imaginary part of the original complex number.z1 = −11+2 i and z2 = −1+13 i are given
I need to find the following in the form x + y i.
conjugate of z1 =
conjugate of z1z2=
z1/z2 =
a) how would i go about it
and
b) can someone provide the solutions to the questions if possible
YesSo u are saying that for the first one my answer should be -11+(-2*i)? is that what i am understanding?
i think answer is \(\displaystyle -11-2i\) divided by its modulus
Well you think wrong. If \(\displaystyle \displaystyle z = x + i\,y \) then \(\displaystyle \bar{z} = x - i\,y \). You do not divide by its modulus.i think answer is \(\displaystyle -11-2i\) divided by its modulus
sorryWell you think wrong. If \(\displaystyle \displaystyle z = x + i\,y \) then \(\displaystyle \bar{z} = x - i\,y \). You do not divide by its modulus.
You are instead thinking of finding a unit vector in the same direction as an original vector.
I hope I didn't offend you, it's not your fault that there were many interpretations of the original postsorry, i read the question as \(\displaystyle 1/z1\)
I realize that with the other posts, this will be somewhat redundant, but I hope it will be useful nevertheless to have everything consolidated.z1 = −11+2 i and z2 = −1+13 i are given
I need to find the following in the form x + y i.
conjugate of z1 =
conjugate of z1z2=
z1/z2 =
a) how would i go about it
and
b) can someone provide the solutions to the questions if possible