In this problem, let us try to maximize the function J = |3x+2y-7z| under the constraint of 2x²+y²+3z² = 5, by applying the

Question

In this problem, let us try to maximize the function J = |3x+2y-7z| under the constraint of 2x²+y²+3z² = 5, by applying the Cauchy-Schwarz inequality. The trick is to view J as the absolute value of the inner product of u̲=(√2x, y, √3z) and y = (3/√2,2, -7/√3). Find the maximum value of J.

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