Help me understand this

[polar ravine]

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[verbal summit]

try using the fact that 0, z1, z2, z1+z2 form a parallelogram

and z1-z2 is a diagonal of that parallelogram

that's fine, then try doing |z1+z2|^2=(z1+z2)(z1*+z2*)

and then find |z1-z2|^2 and compare

and use the fact that you know that |z1|=|z2|=1

well you are trying to find what |z1-z2| is

its a fixed value

but you are using an inequality

so that doesnt make sense

idk what your proof is

youd have to show me

actually wait yeah it shouldnt exist

because $$|z_1+z_2|^2=5=|z_1|^2+|z_2|^2+z_1z_2^{}+z_1^{}z_2$$ and so $z_1z_2^{}+z_1^{}z_2=3$, thus, $$|z_1-z_2|^2=|z_1|^2+|z_2|^2-z_1z_2^{}-z_1^{}z_2=1+1-3=-1$$ which is nonsense since $|z_1-z_2|^2\geq0$.

[amber stratus]

one eight seven

[lofty pendant]

@keen solstice has given 1 rep to @verbal summit

[verbal summit]

yeah i didnt actually calculate it, just figured out the method to doing it

though triangle inequality is unconventional here since you want the expression

it happens to work because it doesnt exist

if it did exist, you wouldnt yield anything useful

the method i outlined above gives you the value of |z1-z2|

if it had an answer