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Home » The HIDDEN Ingredients in Picklemans Menu You Didn’t Know You Needed – Try It Today! - Groen Casting

The HIDDEN Ingredients in Picklemans Menu You Didn’t Know You Needed – Try It Today! - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\|\mathbf{a} + \mathbf{b} + \mathbf{c}\|^2 = \|\mathbf{a}\|^2 + \|\mat...
= 3 + 2(\mathbf{a} \cdot \mathbf{b} + \mathbf{b} \cdot \mathbf{c} + \m...
Each dot product $ \leq 1 $, and maximum occurs when $ \mathbf{a} = \m...
\|\mathbf{a} + \mathbf{b} + \mathbf{c}\|^2 = 3 + 2(1 + 1 + 1) = 3 + 6...
\Rightarrow \|\mathbf{a} + \mathbf{b} + \mathbf{c}\| = 3
This is achievable when all vectors are equal.
Thus, the maximum value is $ \boxed{3} $.
Question: A regular tetrahedron has three of its vertices at $ (1,1,1)...
Solution: Let the three given points be $ A = (1,1,1) $,
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