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-a + b - c + d = 4 \quad \text(1) - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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= egin{pmatrix} 3y - 2z \ - (3x - z) \ 2x - y \end{pmatrix} = egin{p...
Set equal to \(egin{pmatrix} 0 \ 0 \ 5 \end{pmatrix}\):
3y - 2z = 0 \
-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 ortho...

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