Three lines intersect at a point and are mutually perpendicular. If the first two lines are L_1 : `(x+32)/4 = (y-4)/(-1) = (z+13)/(2)` L_2 : `(12,283,133) + tlt1,36,16gt` then find the equation...

Three lines intersect at a point and are mutually perpendicular. If the first two lines are

L_1 : `(x+32)/4 = (y-4)/(-1) = (z+13)/(2)`

L_2 : `(12,283,133) + tlt1,36,16gt`

then find the equation of the third line.

Enter your answer in the form L_3 : `(x,y,z)=(x_0,y_0,z_0)+lta,b,cgtt` with t as your parameter.

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