SOLUTION: the modulus of -1 i

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Question 924460: the modulus of -1 i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The modulus must be a positive number.
If the complex number Z+=+jb, mod%28Z%29+=+sqrt%28+%28jb%29%5E2%29, where mod%28Z%29 denotes the modulus of Z.

mod%28Z%29=sqrt%28+%28-1i%29%5E2%29
mod%28Z%29=sqrt%28+1i%5E2%29
mod%28Z%29=sqrt%28+i%5E2%29
mod%28Z%29=i

since +sqrt%28+%28jb%29%5E2%29 is abs%28b%29j%29, then you can find mod%28Z%29 this way:
mod%28Z%29=abs%28-1%29i
mod%28Z%29=1i
mod%28Z%29=i