Question: 3. (a) Find the minimum of the function f(x, y, z) = (x 2)^2 + (y 1)^2 + z^2 subject to the constraint x^2 +y^2+z^2

(a) Find the minimum of the function f(x, y, z) = (x 2)^2 + (y 1)^2 + z^2 subject to the constraint x^2 +y^2+z^2 = 1, using the method of Lagrange multipliers

(b) Give a geometric interpretation of this problem.

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