a. Let E be a normed linear space. Given x1,..., xn ∈ E (with n ≥ 2) such that xk = 1 for 1 ≤ k ≤ n and the origin of E is in the convex hull of {x1,..., xn}, prove that x1 +···+ xn ≤ n − 2.

xn ∈ E (with n ≥ 2) such that xk = 1 for 1 ≤ k ≤ n and the origin of E is in the convex hull of {x1,..., xn}, prove that x1 +···+ xn ≤ n − 2

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