How much does Cauchy-Schwarz Inequality can handle?

Algebra Level 3

Which of the following is the domain of (a1,a2,,an)(a_1,a_2,…,a_n ) and (b1,b2,,bn)(b_1,b_2,…,b_n ), such that we will always have

(a12+a22++an2)(b12+b22++bn2)(a1b1+a2b2++anbn)2(a_1^2+a_2^2+⋯+a_n^2 )(b_1^2+b_2^2+⋯+b_n^2 )≥(a_1 b_1+a_2 b_2+⋯+a_n b_n )^2

Choose the most suitable answer.

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