Consider the function f defined by: f(x, y, z) = x2 + y2 + z2 - xy - yz + 6x - 5y + 4z - 100. 1. Determine the stationary point of f. 2. Is f convex or concave? Justify your answer. 3. Deduce whether the stationary point is a minimum or a maximum. Justify your answer.

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