Let ABC be a triangle of area 15√2 and the vectors \(\vec{AB}\) = î + 2ĵ - 7k̂, \(\vec{BC}\) = aî + bĵ + ck̂ and \(\vec{AC}\) = 6î + dĵ - 2k̂, d > 0. Then the square of the length of the largest side of the triangle ABC is

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