Argand Diagram

**SengNee** · January 7th 2008, 01:52 AM

$z = x + yi$

What is the uses of modulus of , $r$ and arg , θ in an Argand diagram?

**badgerigar** · January 7th 2008, 03:42 AM

$(r, \theta)$ are the polar coordinates of z

**SengNee** · January 7th 2008, 09:23 PM

What is polar coordinate?

**Jhevon** · January 7th 2008, 09:42 PM

Originally Posted by SengNee

What is polar coordinate?

we know that the number z = x + iy can be graphed as a dot in the Argand plane at the point (x,y) correct? r is the legth of the line connecting the origin to (x,y) and $\theta$ is the angle this line makes with the positive real-axis

**SengNee** · January 8th 2008, 12:52 AM

I know that:
r=|z|=length of z
$\theta$ =the angle this line makes with the positive real-axis

I ask about what their uses, how we apply them to solve our daily problems?

**badgerigar** · January 8th 2008, 01:29 AM

how we apply them to solve our daily problems?

These have thousands of applications. One of the simplest is that if |z| = r and $\arg (z) = \theta$ then $|z^n| = r^n$ and $\arg (z^n) = n \theta$ .

**ThePerfectHacker** · January 8th 2008, 07:59 AM

Originally Posted by SengNee

I ask about what their uses, how we apply them to solve our daily problems?

The shortest route between two truths in the real domain passes through the complex domain. -Hadamard

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