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Main Question or Discussion Point
Dear All,
Please help me clear some doubts about Theorem 3.3.1 in the 1st attachment.
The condition ## a = b ## has only 8 cases right? ## { x+iy. x  iy, x + iy, x  iy, y + ix, y  ix, y + ix, y  ix } ##
so for the condition ## a = b ## and ## b \bar c = \bar a c ## in (2) and (3) in the attachement, what must ##b## and ##\bar a## be for them to to satisfy this equation given that C is a complex number of the form ## Cx + iCy ##.
why is there a line of solutions in (3)? usually you only get one imaginary and one real value for z right??
In the 2nd attachement, I have tried to do question 3. what does in the direction of b mean? does it pass through b also?? c =0 right? can you please give examples of the complex number b?
Danke...
Please help me clear some doubts about Theorem 3.3.1 in the 1st attachment.
The condition ## a = b ## has only 8 cases right? ## { x+iy. x  iy, x + iy, x  iy, y + ix, y  ix, y + ix, y  ix } ##
so for the condition ## a = b ## and ## b \bar c = \bar a c ## in (2) and (3) in the attachement, what must ##b## and ##\bar a## be for them to to satisfy this equation given that C is a complex number of the form ## Cx + iCy ##.
why is there a line of solutions in (3)? usually you only get one imaginary and one real value for z right??
In the 2nd attachement, I have tried to do question 3. what does in the direction of b mean? does it pass through b also?? c =0 right? can you please give examples of the complex number b?
Danke...
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