Find four vectors in R2 such that no two are collinear (in particular, none of the vectors is zero), the set is linearly dependent, and is not in a plane. Options:
a) (1,0), (0,1), (1,1), (−1,−1)
b) (1,0), (0,1), (2,2), (−1,−1)
c) ((1,0), (0,1), (1,2), (−1,−2)
d)(1,0), (0,1), (−1,0), (0,−1)