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Let a, b and c be three real numbers sa...

Let `a, b` and `c` be three real numbers satisfying `[a b c] [(1,9,7),(8,2,7),(7,3,7)] =[0 00] ........(E)` If the point `P(a, b, c),` with reference to `(E)`, lies on the plane `2x + y + z = 1,` then the value of `7a + b + c` is

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Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7),(8,2,7),(7,3,7)]=[(0,0,0)] Let omega be a solution of x^(3)-1=0 with Im (omega) gt 0 . If a=2 with b and c satisfying (E), then the value of 3/omega^(a)+1/omega^(b)+3/omega^(c) is equal to