Q: Illustrate on an Argand diagram vectors representing complex numbers z+w and z-w, for any complex number z and w.
a) If |z| = |w| what can be said about arg [ (z-w)/(z+w) ]?
I can see that the question is about rhombus properties: the diagonals of rhombus perpendicularly bisect. My question is, is the answer +- pi/2 or just pi/2? T.Lee answers have just pi/2 but my reasoning is that depending on the placement of z and w in your diagram then arg [ (z-w)/(z+w) ] = +- pi/2
So which is correct? (I always get stunned by questions involving diagrams... because the answer can vary depending on your diagram imo)
a) If |z| = |w| what can be said about arg [ (z-w)/(z+w) ]?
I can see that the question is about rhombus properties: the diagonals of rhombus perpendicularly bisect. My question is, is the answer +- pi/2 or just pi/2? T.Lee answers have just pi/2 but my reasoning is that depending on the placement of z and w in your diagram then arg [ (z-w)/(z+w) ] = +- pi/2
So which is correct? (I always get stunned by questions involving diagrams... because the answer can vary depending on your diagram imo)
