1a. Given vectors v₁ = (1, 0, 0) and v₂ : (1, 0, 0) and v₂ = (0, 1, 0) in R³, find a vector V3 such that the three vectors V₁, V2, V3 form a basis of R³. 1b. In general, given Linearly Independent vectors u₁ = (a₁, b₁, C₁) and u₂ = (a2, b2, C2), how to find all u3 = (x, y, z) such that {u₁, U₂, U3} is a basis of R³?

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