The solution space of the system is a subspace of r³ and so must be a line through the origin, a plane through the origin, all of r³, or the origin only. for each system, determine which is the case. if the subspace is a plane, find an equation for it, and if it is a line, find parametric equations.
(a) 0x+ 0y+ 0z = 0
(b) 2x - 3y + z = 0, 6x - 9y + 3z = 0, -4x + 6y - 2z= 0
(c) x - 2y + 7z = 0, -4x + 8y + 5z = 0, 2x - 4y + 3z = 0
(d) x + 4y + 8z = 0, 2x + 5y+ 6z = 0, 3x + y - 4z = 0