Given a & sup2; + B & sup2; + C & sup2; = 1, X & sup2; + Y & sup2; + Z & sup2; = 1, prove ax + by + CZ ≤ 1 It's easy to understand
A & sup2; + B & sup2; + C & sup2; + X & sup2; + Y & sup2; + Z & sup2; = 2
(a+x)^2+(b+y)^2+(c+z)^2=2-2ax-2by-2ca>=0
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