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 1815191069.     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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