Carissa15
  • Carissa15
I have a few questions with imaginary numbers. Please help.
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Carissa15
  • Carissa15
1. Plot the following complex numbers in the plain and compute Re z, Im z, Z, IzI and arg z. i) z1=3i
ganeshie8
  • ganeshie8
\(z_1 = 3i = 0+3i\) so that goes \(0\) along Real axis and \(3\) along Imaginary axis : |dw:1443006330020:dw|
Carissa15
  • Carissa15
Not sure I understand how it got to 0+3i

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Carissa15
  • Carissa15
It states to use z=x+iy
ganeshie8
  • ganeshie8
\(3i\) is same as \(0+3i\)
Carissa15
  • Carissa15
Ok, so you dont't have to "move" the z1 to the RHS?
Carissa15
  • Carissa15
1 Attachment
ganeshie8
  • ganeshie8
there is no "Real" component, so the complex number sticks vertically up
Carissa15
  • Carissa15
ok cool. Thanks. So the question is just asking for them to be plotted basically.
ganeshie8
  • ganeshie8
Yes and you need to compute the mentioned quantities too
Carissa15
  • Carissa15
What will they be? Re z is real z. Im z is imaginary z.
phi
  • phi
Yes Re z is the real part. if you have z= 3i (or 0 + 3i if we want to explicitly show the real part), then Re 3i = 0 and Im 3i = 3 the magnitude | z | is the length of the line from the origin to the point use pythagoras |z|^2 = x^2 + y^2 where x and y are the real and imaginary components the angle is the inverse tangent of y/x
Carissa15
  • Carissa15
Thank you everyone for your help. :)

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