Complex Numbers Help (1 Viewer)

[untouchablecuz]

Why does:

|iz| = |i||z| = |z|

or

|bz| = |b||z| = |z|

What happens to |i| or |b| at the end?

Thanks for any help (I just started 4 unit today).

 

[u-borat]

hey sunshine.

TRY A FUCKING TEXTBOOK.

 

[untouchablecuz]

If you don't have something constructive to say sweety, stfu.

 

[gurmies]

|zi| = |z||i|
= |z|
I have also recently started 4 unit, so my explanation may be dodgy and at worst, wrong. Not sure why at this particular point in time, but you know that |z1| x |z2| = |z1z2|. In words, the modulus of a complex number multiplied by the modulus of another complex number is equal to the modulus of the products of these complex numbers. Anyway assume z is any complex number x + iy. You know that in the case of "i" x = 0 and y = 1. Therefore it's modulus is 1. So in essence, you are writing 1 x |z| = |z|. As for the b, not sure what's going on there? Logically the modulus of b has to be 1.

 

[untouchablecuz]

O yes yes, its so obvious. Thanks a lot

 

[gurmies]

glad to help

 

[tabbaa]

Hey OP

When you multiply an complex number with i, it just means that you are rotating it 90 deg anti-clockwise.

The Mod doesn't change.

 

[shaon0]

Hey guys,
I've proved this but have seemingly lost where i wrote the solution.
z=a+ib
Prove:
If (z)/(z-i) is real then z is imaginary.

 

[shaon0]

Hey guys,
I've proved this but have seemingly lost where i wrote the solution.
z=a+ib
Prove:
If (z)/(z-i) is real then z is imaginary.

Anyone?

 

[untouchablecuz]

Hey guys,
I've proved this but have seemingly lost where i wrote the solution.
z=a+ib
Prove:
If (z)/(z-i) is real then z is imaginary.

Scroll down to find it.

 

[ronnknee]

hey sunshine.

TRY A FUCKING TEXTBOOK.

Gee aren't you nice

 

[gurmies]

Flashback bump. Look how far we've come xD

 

[Cazic]

Hahaha, I was like wtf is untouchablecuz asking this for?

 

[lyounamu]

Flashback bump. Look how far we've come xD

Back in those time, that question would have posed some thinking and now it's a piece of cake

 

[ninetypercent]

wow you guys are awesome!