Give an example of three linearly dependent vectors in ℝ³ such that none of the three is a multiple of each other.
a) (1, 0, 0), (0, 1, 0), (1, 1, 0)
b) (1, 2, 3), (2, 4, 6), (3, 6, 9)
c) (1, 1, 1), (2, 2, 2), (3, 3, 3)
d) (1, 0, 0), (0, 1, 0), (0, 0, 1)
