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Home » Question: How many whole numbers lie between $3π$ and $5π$? - ECD Germany

Question: How many whole numbers lie between $3π$ and $5π$? - ECD Germany

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 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 orthogonal to \(\mathbf{a}\), which \(egin{pmatrix} 0 \ 0 \ 5 \end{pmatrix} \cdot egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} = 15

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