# Thread: [SOLVED] Simple Clarification of Complex number

1. ## [SOLVED] Simple Clarification of Complex number

Hey,
I was just wondering what I am supposed to draw when a question asks to find the points that are formed by $\displaystyle |z-w|$ and it has no = c part. Therefore it is not a circle. I have values for z and w .

Am I supposed to mark the real number that is produced by this absolute value?

Question:
Show the set of points which represent |z-w| on an Argand plane.

Thanks

2. Do you have values for z and w?

Argand Diagram -- from Wolfram MathWorld

This should be useful.

3. Yes z and w are two complex numbers
z = -2 + 4i
w = 3 + i

4. Originally Posted by Evales
Hey,
I was just wondering what I am supposed to draw when a question asks to find the points that are formed by $\displaystyle |z-w|$ and it has no = c part. Therefore it is not a circle. I have values for z and w .

Am I supposed to mark the real number that is produced by this absolute value?

Question:
Show the set of points which represent |z-w| on an Argand plane.

Thanks
There is only one value for this subtraction, so you only get one point on the Argand plane. And, as you say, the result will be real, so it goes on the real axis.

-Dan