7. Given the lines L₁: (x, y, z) = (1, 3,0) + t(4, 3, 1), L₂: (x, y, z) = (1, 2, 3 ) + t(8, 6, 2 ),
the plane P: 2x − y + 3z = 15 and the point A(1, 0, 7 ).
a) Show that the lines L₁ and L₂ lie in the same plane and find the general equation of this plane.
b) Find the distance between the line L₁ and the Y-axis.
c) Find the point Bon the plane P which is closest to the point A.
