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[" "Find the vector and cartesian equations of the line passing through "(1,2,3)" and parallel to "],[" theplanes "vec r*(hat i-hat j+2hat k)=5" and "vec r*(3hat i+hat j+2hat k)=6],[" In Prove that the line of section of the planes "5x+2y-4z+2=0" and "2x+8y+2z-1=0" is "],[" parallel to the plane "4x-2y-5z-2=0" ."]

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Find the vector and cartesian equations of the line passing through the point P(1,2,3) and parallel to the planes vec r*(hat i-hat j+2hat k)=5 and vec r*(3hat i+hat j+hat k)=6

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