Let a,b,c,x,y,z be reals and let A=ax+by+cz.
Similarly B=ay+bz+cx & C=az+bx+cy.
Given |A-B|\ge 1, |B-C|\ge 1 & |C-A|\ge 1.
Find the minimum of (a^2+b^2+c^2)(x^2+y^2+z^2). [54]
4 ?
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