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If vecx, vecy are two non-zero and non-c...

If `vecx, vecy` are two non-zero and non-collinear vector satisfying
`[(a-2)alpha^(2) +(b-3)alpha +c]vecx -2beta^(2) + beta -3beta - alpha]vecy +[(a -2)gamma^(2) + (b-3)y + c](vec(x) xx vecy)=0`, where `alpha, beta, gamma` are three distinct real numbers, then find the value of `(a^(2) + b^(2) + c^(2)-4)`.

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