kunal stuck in a basic complex number problem....help needed!

z1,z2,z3 are three complex numbers such that (z3-z1)/(z3-z2)=∂
find ∂ such that it represents an equilateral triangle
i got 0.5±i√3/2 as the answer.in fact these both were in the options too.but the final answer was given to contain only one with + sign.

did i do some error?

5 Answers

1
swordfish ·

I am getting it as 0.5+i√3/2.
Can you show your working so that your (or my) mistake might be clear ?

1
kunl ·

u got 0.5+i√3/2 by rotating one of sides by an angle of pi/3 right??
and how about rotating by -pi/3[7][7][12]

1
kunl ·

bhaiya check ur chatbox plz

1
syed_ahmad_nadee ·

(z1-z3)\(z2-z3)=|(z1-z3)\(z2-z3)|ei pi/3

1
swordfish ·

I think there is no such -pi/3 or pi/3 when you don't know the relative positions of z1 z2 and z3. Its simply the angle between the two rays which is pi/3

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