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Find the equation of the plane through the line of intersection of the planes `vecr.(2hati-3hatj+4hatk)=1` and `vecr.(hati-hatj)+4=0` and perpendicular to the plane `vecr.(2hati-hatj+hatk)+8=0`.

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The correct Answer is:
`vecr cdot (-5hati + 2hhatj + 12 hatk) = 47
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