Suggest a problem for the appropriate week.

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Suggest a problem for the appropriate week.

Note: Do not post problems here. Hover over the tag “Suggest a Problem” and select the appropriate week.

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We say a line L on a plane “cuts” a set of points A, if on both sides of L there are points from A. Prove that if the points $z_1, z_2, …, z_n \in \mathbb{C}$ aren’t all on the same line and $z_1+z_2+ …+ z_n=0$ then every line passing through the origin cuts {$z_1, z_2, …, z_n$}.

Brilliant, messed up both the Latex and the comment category. Someone delete this?