Carrots
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- Joined
- Aug 21, 2018
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Just Another Inequality: Show that: (|a|+|b|)×(|b|+|c|)×(|c|+|a|)≥8×|a×b×c|
Show that: (|a|+|b|)×(|b|+|c|)×(|c|+|a|)≥8×|a×b×c|
Now, what I tried to do was just multiply everything "manually", and needless to say I got stuck.
In the book the problem is meant to be solved using the Invariant Principle, which I didn't really get the hang of. What ways are there to solve this though?
Thanks in advance!
Show that: (|a|+|b|)×(|b|+|c|)×(|c|+|a|)≥8×|a×b×c|
In the book the problem is meant to be solved using the Invariant Principle, which I didn't really get the hang of. What ways are there to solve this though?
Thanks in advance!