Complex Number Quick Question (1 Viewer)

[housemouse]

How would you draw Im(z) = 4

 

[pLuvia]

Im(z)=4

Let z = x+iy

Therefore the Im(z) is y

So the line is just y=4

 

[acullen]

Simply put, when graphing complex functions on the cartesian plane:
x = Re(z)
y = Im(z)
and
argument (equiv. to gradient) = arctan(Im(z)/Re(z))

 

[Riviet]

If asked to give a geometrical description, all you need to say is the locus of z is a horizontal line, parallel to the x-axis and 4 units above it.

 

[Trev]

If asked to give a geometrical description, all you need to say is the locus of z is a horizontal line, parallel to the x-axis and 4 units from it.

4 units <u>above</u> it.

 

[Riviet]

Yeah, forgot to say that, thanks. =)