Let z1,z2,z3 be 3 complex numbers lying on a circle whose centre is at the origin such that zi+zjzk (where i,j,k∈{1,2,3} and i=j=k) are real numbers, then find z1×z2×z3.
Note
- z1=z2=z3. In other words, z1,z2,z3 are all distinct points on the circle.
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