Section+2.2+9-21

= __**Topic 1:Graphing on a complex plane**__ =

If you have the complex number (3-2i) and you want to graph it, just think of it as graphing the point (3, -2). Your x-axis will remain the same, but your y-axis will be the imaginary component. Likewise, if you have(3+2i), which is the conjugate, you can also think of it as graphing the point (3,2).

This is an example of a complex plane graphing the point (3-2i)



**__Topic 2: Magnitude__** The magnitude of a value z is the distance between the complex number and the origin of the complex plane. You basically use the distance formula to find the magnitude.

The magnitude of (4+3i) is 5 as computed and shown below: = __**Topic 3: Norms**__ =



As shown from the mathematical explanation, the Norm of z is essentially the magnitude of a complex number z.

{You need to go back and check the definition of the norm in the textbook again. The norm of a complex number is the product of the number and its complex conjugate:

math N(z)=z\bar{z} math

I think you were trying to reference a theorem about how the magnitude and the norm are related which was discussed, but you are missing a few points-- Mrs. Tyson}

=**__Topic 4: Argument__**= The argument of a complex number z, (arg(z)), is the measure of the angle in standard position with z on the terminal side. Argument of z:

{except when it's not. This is a pretty subtle point to write well. The book avoided giving a formula for a reason. Mrs. Tyson}