Question: Pls help. I have no idea how to apply hyperplane separation theorem to show cx is greater than 1. Thanks!! Exercise 2 Let x1,...,xk E

Pls help. I have no idea how to apply hyperplane separation theorem to show cx is greater than 1. Thanks!!

Exercise 2 Let x1,...,xk E R\" be vectors and let K :2 conv{x1,...,xk}. Prove that if the origin 0 = (0, . . . 70) is not in K , then there is a vector 0 E R" with cx; 2 l for all i = 1,. . .,k. Hint: Apply the hyperplane separation theorem

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