6. Suppose that u₁ and u₂ are vectors with ||u₁||| = 2 and ||u₂|| = 3. You are also given that u₁ · U₂ = 5. Lastly, you are given un+2 = projun Un+1 for n ≥ 1. In other words, u3 = proju, U2, U4 = projµ₂ U3, and so forth. (a) Find ||un|| for n = 3, 4, 5, 6. (b) Determine if the following series converges or diverges. If it converges, find the value. If it diverges, explain why. n=1 ||un||

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