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7. In each part, determine whether the three vectors lie in a plane in R³. a. v₁ = (2, -2,0), V₂ = (6, 1, 4), V3 = (2,0,−4) b. v₁ = (-6, 7,2), V₂ = (3,2,4), V3 =(4,-1,2)
22. Show that for any vectors u, v, and w in a vector space V, the vectors u - v, v- w, and w - u form a linearly depen- dent set.
5. In each part, determine whether the matrices are linearly inde- pendent or dependent. a. [9 [ 1 2 1 [1 b. 0 Го о 0 in M22 J. [ [00 0 1 in M23