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[" Find the vector equation of the line passing through "(1,2,3)" and parall "],[" planes "bar(r)*(hat i-hat j+2hat k)=5" and "bar(r)*(3hat i+hat j+hat k)=6]

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

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

Find the vector equation of the plane passing through the intersection of the planes vec r*(hat i+hat j+hat k)=6 and vec r*(2hat i+3hat j+4hat k)=-5 and the point (1,1,1) .