Find a basis for the subspace of R3 that is spanned by the vectors v = (1,0,0), v2 = (1, 0, 1), v3 = (2,0, 1), v4 = (0, 0, -1) 7. In each part, find a basis for the given subspace of R", and state its dimension. (a) The plane 3.x – 2y + 5z = 0. (b) The plane x - y = 0. (c) The line r = 21, 1 = -1, 1 = 41. vectors v = (1,0,0), v2 = (1,0,1), v3 = (2,0, 1), v4 = (0,0, -1 7. 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 r = 21, y = -1, 1 = 41