Complex Numbers Help (1 Viewer)

[Silences]

What is the difference between
arg [ z+2 / z-2 ] and
arg [ Z-2 / z+2 ] ?

 

[unholybuddha]

the first one is clockwise and the second one is anticlockwise above the real axis its the opposite under the real axis. they hav the same magnitude but

 

[Silences]

the first one is clockwise and the second one is anticlockwise above the real axis its the opposite under the real axis. they hav the same magnitude but

I don't see the difference ?

 

[study-freak]

What is the difference between
arg [ z+2 / z-2 ] and
arg [ Z-2 / z+2 ] ?

arg [ z+2 / z-2 ]
=arg [ z+2 ] - arg [ z-2 ]
=-(arg [ z-2 ] - arg [ z+2 ])
=-arg [ z-2 / z+2 ]

 

[Silences]

arg [ z+2 / z-2 ]
=arg [ z+2 ] - arg [ z-2 ]
=-(arg [ z-2 ] - arg [ z+2 ])
=-arg [ z-2 / z+2 ]

How would you show that diagramically?

 

[study-freak]

Hard to show it on comp...
Ask someone who has a maths drawing software

 

[untouchablecuz]

situation 1 doesnt hold

situation 2 does