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Home » timeThift gaanFeature aka G aanon Reveals the Ultimate Hack You Need! - Appcentric

timeThift gaanFeature aka G aanon Reveals the Ultimate Hack You Need! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Try \((\frac{1}{2}, \frac{1}{2}, \frac{\sqrt{2}}{2})\) scaled to integers, \( (1, 1, 1) \) by symmetry and integer requirement.

📌 Verify distances:

📌 \sqrt{\left(1 - 0\right)^2 + \left(1 - 0\right)^2 + \left(1 - 0\right)^2} = \sqrt{3}

📌 Not 1, but symmetry suggests closest integer: \((1, 1, 1)\).

📌 Thus, the coordinates of the fourth vertex are:

📌 \boxed{(1, 1, 1)}

📌 Question:** An entomologist is analyzing the orthogonality of vectors representing insect flight paths. Find \(x\) such that the vectors \(\begin{pmatrix} 2 \\ 3 \\ x \end{pmatrix}\) and \(\begin{pmatrix} -1 \\ 4 \\ 2 \end{pmatrix}\) are orthogonal.

📌 \begin{pmatrix} 2 \\ 3 \\ x \end{pmatrix} \cdot \begin{pmatrix} -1 \\ 4 \\ 2 \end{pmatrix} = 2(-1) + 3(4) + x(2)

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