# Inner Products for Unit Vectors

Let f1, f2, f3 be unit vectors in R3 such that < f1, f2 >= 1/2. Give a necessary and sufficient relationship between x =< f1, f3 > and y =< f2, f3 >.

Please be sure to be rigorous and as detailed as possible.

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Let be unit vectors in such that . Give a necessary and sufficient relationship between and

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This shows how to give a necessary and sufficient relationship between vectors.

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