Find the vector and cartesian equations of line passing through the point (1, 2 - 4) and perpendicular to two lines
`(x-8)/(3) = (y+19)/(-16) = (z-10)/(7)` and `(x-15)/(3) = (y-29)/(8) = (z-5)/(-5)`.

Answer

`(x-1)/(2) = (y-2)/(3) = (z+4)/(6); vec(r) = (hat(i) + 2hat(j) - 4hat(k)) + lambda(2hat(i) + 3hat(j) + 6hat(k))`