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[" Find the vector equation of the plane through the line of intersection of the "],[" planes "x+y+z=1" and "2x+3y+4z=5" which is perpendicular to the "],[" plane "x-y+z=0." Hence find whether the plane thus obtained contains "],[" the line "(x+2)/(5)=(y-3)/(4)=(z)/(5)" or not "]

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