Trương Triều Dĩ
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Cho ba số phức \({z_1},{z_2},{z_3}\) thỏa mãn \(\left\{ \begin{array}{l} {z_1} + {z_2} + {z_3} = 0\\ |{z_1}| = |{z_2}| = |{z_3}| = 1 \end{array} \right.\). Khẳng định nào sau đây là đúng?
A. \(|z_1^2 + z_2^2 + z_3^2| = |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
B. \(|z_1^2 + z_2^2 + z_3^2| > |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
C. \(|z_1^2 + z_2^2 + z_3^2| < |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
D. \(3 = |z_1^2 + z_2^2 + z_3^2|.|{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
A. \(|z_1^2 + z_2^2 + z_3^2| = |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
B. \(|z_1^2 + z_2^2 + z_3^2| > |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
C. \(|z_1^2 + z_2^2 + z_3^2| < |{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)
D. \(3 = |z_1^2 + z_2^2 + z_3^2|.|{z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}|\)