Given the vectors u = (1, 0, 0), v = (1, 1, 0), w = (1, 1, 1) and s = (2, 1, 2), find α, β, γ that satisfy s = αu + βv + γw. If u´ = (1, –1, 0), v´ = (0, 1, –1) and w´ = (0, 0, 1) show that