Question: In each part, the solution space is a subspace of R3 and so must be a line through the origin, a plane through the origin,

In each part, the solution space 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 the case is. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations.
(a) 2x - 3y + 3z = 0
6x - 9y + 3z = 0
- 4x + 6y - 2z = 0
(b) x - 2y + 7z = 0
- 4x + 8y + 5z = 0
2x - 4y + 3z = 0

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