Let V = sp({(1, 1, 1, 1)ª, (1, 1, 2, 4)¹, (0, –1, 6, 7)T}) ≤ R4. Find an orthonormal basis {u₁, U₂, U3} for V. Write the vector (3, 4, —2, −1)ª € V as a linear combination of u₁, U2, U3. Find the vector v € V closest to x = (4, 6, 1, 1)ª.

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