Plane in Space Inequality Problem using Cauchy Schwarz

Sirrus

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Jan 28, 2012
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I've been trying to get this for 2 hours now with not even a clue on how to start. The question is.... x,y,z are positive numbers... and 5x + y + 6z = 11, find the minimum value of 1/x + 6/y + 5/z. It gives a hint saying to use the Cauchy Schwarz inequality | U (dot) V | is less than or equal to ||U|| ||V||.
 
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