+0  
 
0
108
1
avatar

Suppose z is a complex number such that 2z = 24 - 32i. Find |z|.

 Jun 15, 2022

Best Answer 

 #1
avatar+579 
+3

Ight so solve for z...

 

That gives \(z=12-16i\)

 

Now you are asking for \(|z|\) or in other words the magnitude of \(z\)

 

So convert \(12-16i\) to polar coords, which is \(20 e^{-i tan^{-1}{(4/3)}}\)

 

The magnitude is \(20\)

 

-Vinculum

 Jun 15, 2022
 #1
avatar+579 
+3
Best Answer

Ight so solve for z...

 

That gives \(z=12-16i\)

 

Now you are asking for \(|z|\) or in other words the magnitude of \(z\)

 

So convert \(12-16i\) to polar coords, which is \(20 e^{-i tan^{-1}{(4/3)}}\)

 

The magnitude is \(20\)

 

-Vinculum

Vinculum Jun 15, 2022

29 Online Users

avatar