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.