If f(x)=|(cos(x+alpha),cos(x+beta),cos(x...

If `f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta))|` and f(2)=6, then find `1/5 sum_(r=1)^25 f(r)`,

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