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Home » Mad Scientists Unleashed: The Most Unbelievable Scientific Madness Exposed! - High Altitude Science

Mad Scientists Unleashed: The Most Unbelievable Scientific Madness Exposed! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 -3x + z = 0 \

📌 2x - y = 5

📌 From second equation: \(z = 3x\)

📌 From first: \(3y = 2z = 2(3x) = 6x \Rightarrow y = 2x\)

📌 Substitute into third:

📌 2x - (2x) = 5 \Rightarrow 0 = 5

📌 Contradiction! So no solution exists unless the cross product is orthogonal to \(\mathbf{a}\), which \(egin{pmatrix} 0 \ 0 \ 5 \end{pmatrix} \cdot egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} = 15

📌 e 0\), so inherently inconsistent.

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