# Let L1 be the line through the points ( 1 , 2 , 6 ) and ( 2 , 4 , 8 ). And let L2 be the line of intersection of the planes π1 and π2 , where π1 is the plane ( x − y + 2z + 1 = 0 ) and π2 is the plane through the points ( 3 , 2 , −1 ) ( 0 , 0 , 1 ) and ( 1 , 2 , 1 ). Calculate the distance between and L1 and L2 .

Question

Let L1 be the line through the points ( 1 , 2 , 6 ) and ( 2 , 4 , 8 ). And let L2 be the line
of intersection of the planes π1 and π2 , where π1 is the plane ( x − y + 2z + 1 = 0 ) and π2
is the plane through the points ( 3 , 2 , −1 ) ( 0 , 0 , 1 ) and ( 1 , 2 , 1 ). Calculate the distance
between and L1 and L2 .