Find the vector equation of the line passing through the point `(1 , 2, -4)` and perpendicular to the two lines: `(

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Q 2647267183.     Find the vector equation of the line passing
through the point `(1 , 2, -4)` and perpendicular to
the two lines:

`(x-8)/3 = (y+19)/(-16) = (z-10)/7` and

`(x-15)/3 = (y-29)/8 = (z-5)/(-5)`

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Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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