Question:medium
If \( |z_1| = |z_2| = |z_3| = 1 \) and \( z_1 + z_2 + z_3 = 0 \), then the area of the triangle whose vertices are \( z_1, z_2, z_3 \) is:
If \( |z_1| = |z_2| = |z_3| = 1 \) and \( z_1 + z_2 + z_3 = 0 \), then the area of the triangle whose vertices are \( z_1, z_2, z_3 \) is:
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Complex numbers with equal magnitude and a sum of zero, when representing vertices of a polygon, often form regular polygons centered at the origin.
Updated On: Nov 28, 2025
- \( \frac{3\sqrt{3}}{4} \)
- \( \frac{\sqrt{3}}{4} \)
- \( 1 \)
- \( 2 \)
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