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Home » The ‘Bound 2’ Lyrics That Someone Refused to Delete—Listen Now! - Appcentric

The ‘Bound 2’ Lyrics That Someone Refused to Delete—Listen Now! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 5**Question:** A futuristic AI device outputs a vector in 3D space that must be orthogonal to both eigenvector $\begin{pmatrix} 1 \\ -2 \\ 3 \end{pmatrix}$ and $\begin{pmatrix} 4 \\ 0 \\ -1 \end{pmatrix}$. What vector satisfies this condition?

📌 Solution: To find a vector orthogonal to both, compute their cross product:

📌 \begin{pmatrix} 1 \\ -2 \\ 3 \end{pmatrix} \times \begin{pmatrix} 4 \\ 0 \\ -1 \end{pmatrix} = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 1 & -2 & 3 \\ 4 & 0 & -1 \end{vmatrix}

📌 = \mathbf{i}((-2)(-1) - (3)(0)) - \mathbf{j}((1)(-1) - (3)(4)) + \mathbf{k}((1)(0) - (-2)(4))

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Vereinfachen: \(4x^2 + 460x - 3.120 = 0\)
Durch 4 teilen: \(x^2 + 115x - 780 = 0\)
Lösen mit der quadratischen Formel:
\(x = \
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