Let z₁, z₂, and z₃, be three distinct complex numbers, satisfying |z₁| = |₁, z₂| = |z₃| = 1
A) The product z₁z₂z₃ lies on the unit circle in the complex plane.
B) The sum z₁+z₂+z₃ is purely imaginary.
C) The product z₁z₂z₃ is equal to 1.
D) The sum z₁+z₂+z₃ is equal to 0.