Results 1 to 4 of 4

Math Help - polar expression and argand diagram

  1. #1
    Member
    Joined
    Apr 2010
    Posts
    135

    polar expression and argand diagram

    hello guys. am kind of new to the polar topic and have limited resources where notes and text book is concerned.

    given that z_1 = 4 + 3i and  z_2= 3-2i

    a) express z3= z_1 . z_2 in polar form

    for that i have  (4+3i)(2-2i)
    = 8-8i+6i+6i^2
    =  8-2i -6
    =  2+14i
    is this correct?

    can someone please show me how to evaluate
    \mid z_1\mid

    \mid z_2\mid

    \mid z_3\mid

    and how would i sketch on same argand diagram?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Mar 2010
    Posts
    82

    Complex numbers

    Hi

    z1.z2=(4+3i)(3-2i)

    =12-8i+9i-6i^2
    =12+i+6
    =18+i.

    To graph this on an Argand Diagram think of x axis = real numbers eg. 18 and y axis =imaginary or i axis. Line starts from the origin and extends to coordinates (Re,i)=(18,1)=z3=z1.z2
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Apr 2010
    Posts
    135
    Quote Originally Posted by Neverquit View Post
    Hi

    z1.z2=(4+3i)(3-2i)

    =12-8i+9i-6i^2
    =12+i+6
    =18+i.

    To graph this on an Argand Diagram think of x axis = real numbers eg. 18 and y axis =imaginary or i axis. Line starts from the origin and extends to coordinates (Re,i)=(18,1)=z3=z1.z2
    thanks for that correction. but how would i evaluate the modulus the elements..
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Mar 2010
    Posts
    82

    modulus

    Modulus of a complex number

    The modulus r of a complex number z = a + ib is written | z | and defined by | z | =

    I hope that helps!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: September 16th 2010, 04:28 AM
  2. Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: January 24th 2010, 11:10 PM
  3. Help me with Argand diagram
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 19th 2008, 01:52 AM
  4. Argand Diagram
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 30th 2008, 09:13 AM
  5. Argand Diagram
    Posted in the Math Topics Forum
    Replies: 6
    Last Post: January 8th 2008, 07:59 AM

Search Tags


/mathhelpforum @mathhelpforum