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Suppose α\vec { \alpha } Is a Fixed Vector of Length 5

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Suppose α\vec { \alpha } is a fixed vector of length 5, b\vec { b } is a vector which can rotate and has length 2, and θ\theta is the angle between them.
What is the maximum value of ab\vec { a } \cdot \vec { b } , and for what value of θ\theta does it occur?

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The maximum value of...

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