Turn on thread page Beta
    • Thread Starter
    Offline

    10
    ReputationRep:
    Prove |z1z2|=(z1)(z2) if z1=1+isqrt3 and z2=-3-3i
    Offline

    12
    ReputationRep:
    I think I must be interpreting this wrong. When you say (z1)(z2), do you just mean the product of the complex numbers? If so, then that is itself a complex number. But |z1z2| is a real number, so they can't be equal.
    • Thread Starter
    Offline

    10
    ReputationRep:
    (Original post by Pangol)
    I think I must be interpreting this wrong. When you say (z1)(z2), do you just mean the product of the complex numbers? If so, then that is itself a complex number. But |z1z2| is a real number, so they can't be equal.
    That's what I was thinking I got the modulus to be 6sqrt2 and then the product to be a complex number, maybe I read the question wrong, I'm not sure, I'll ask my teacher, thanks for confirming this haha
    Online

    6
    ReputationRep:
    I think you mean prove |Z1Z2|=(Z1)(Z2).
    • Community Assistant
    Offline

    20
    ReputationRep:
    Community Assistant
    Perhaps the question should be show |z_1 z_2| = |z_1| |z_2| as that is generally true.
    Online

    6
    ReputationRep:
    Here's the working out.
    Name:  IMG_20170106_212413.jpg
Views: 18
Size:  443.5 KB
    • Community Assistant
    Offline

    20
    ReputationRep:
    Community Assistant
    (Original post by MiladAhmed)
    Here's the working out.
    Please could you read the Forum Rules at the top of the Maths Forum. Full solutions are not permitted here. Please just give hints and let people do the work themselves.
    Online

    6
    ReputationRep:
    (Original post by Mr M)
    Please could you read the Forum Rules at the top of the Maths Forum. Full solutions are not permitted here. Please just give hints and let people do the work themselves.
    Whoops. I'm a newbie here, but I'll remember this in the future.
    Online

    6
    ReputationRep:
    *|z1z2|=|z1||z2|
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 7, 2017
Poll
“Yanny” or “Laurel”
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.