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|z1+z2| =|z1|+|z2| then argz1-argz2?

|z1+z2| =|z1|+|z2|
 
then argz1-argz2?

Grade:9

2 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,

\\|z_1+z_2|=|z_1|+|z_2| \\$squaring both sides and comparing coefficients$ \\=>cos(argz_1-argz_2)=1 \\=>argz_1-argz_2={ \pi \over 2}

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
pavaneswari
35 Points
8 years ago
argz1-argz2=arg(z1/z2)

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