In each part, find a basis for the given subspace of R3, and state its dimension.

(a) The plane 3x − 2y + 5z = 0.

(b) The plane x − y = 0.

(c) The line x = 2t,y = −t,z = 4t.

(d) All vectors of the form (a, b, c), where b = a + c.

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