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Q 2637267182.     Find the vector equation of the line passing
through `(1, 2, 3)` and parallel to the planes
`vec(r) * (hat(i) - hat(j) +2 hat(k) ) =5` and `vec(r) * (3 hat(i) + hat(j) +hat(k)) =6`.
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)