For which value of kkk are the vectors (1,k,1)(1, k, 1)(1,k,1), (k,1,1)(k, 1, 1)(k,1,1), and (1,1,k)(1, 1, k)(1,1,k) linearly dependent in R3\mathbb{R}^3R3?
k=1k = 1k=1 or k=−2k = -2k=−2
k=0k = 0k=0
k=−1k = -1k=−1
k=2k = 2k=2 or k=−1k = -1k=−1