Question

已知|z1|=5,|z2|=3,|z1+z2|=6,求|z1-z2|的值?麻烦写出细节.

Answer 1

|z1|=5,|z2|=3,

(|z1+z2|)^2=|z1|^2 +2 |z1||z2|+|z2|^2=36

2 |z1||z2|=12

(|z1-z2|)^2=|z1|^2 -2 |z1||z2|+|z2|^2=12

|z1-z2|=2√ 3