Let the complex numbers [math]z_1, z_2, z_3[/math] be the vertices of an equilateral triangle. If [math]z_0[/math] be the circumcenter of the triangle, how can I prove that [math]z^{2}_1 + z^{2}_2 + z^{2}_3 =
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Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its
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Points A, B and C form an isosceles triangle with a right angle at B and are represented by the complex numbers [math] z_1, z_2 and z_3, [/math] respectively. How do I
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