Min & Max in 3-D

Algebra Level pending

Suppose \( x\), \( y \) and \( z \) are real numbers that satisfy \( x^2 + y^2 + z^2 = 2 .\) If \(a\) and \(b\) are the minimum and maximum values of \( x + 3 y + 2 z ,\) respectively, what is the value of \( -ab ?\)

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