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difference between a watch and a warning - All Square Golf

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 5Question: Find the vector $\mathbf{v}$ such that $\mathbf{v} \times \mathbf{a} = \mathbf{b}$ and $\mathbf{v} \cdot \mathbf{a} = 0$, where $\mathbf{a} = \langle 1, 2, 3 \rangle$ and $\mathbf{b} = \langle 4, 5, 6 \rangle$.

📌 Solution: Let $\mathbf{v} = \langle v_1, v_2, v_3 \rangle$. The cross product $\mathbf{v} \times \mathbf{a} = \mathbf{b}$ gives:

📌 \begin{vmatrix}

📌 \mathbf{i} & \mathbf{j} & \mathbf{k} \\

📌 v_1 & v_2 & v_3 \\

📌 & 2 & 3 \\

📌 \end{vmatrix} = \langle 2v_3 - 3v_2, 3v_1 - v_3, v_2 - 2v_1 \rangle = \langle 4, 5, 6 \rangle.

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A∩C∩D : 26^12 (only upper)
B∩C∩D : 26^12 (only minuscule+symbol)
Add back : A∩B∩C∩D : 0
Calcule approximativement (utiliser tailles logarithmiques ou estimate...
Mais cette valeur est astronomique et hors échelle pour un multiple de...
En réalité, pour ce type de problème pédagogique, souvent on demande l...
Une approximation acceptable :
Total candidates : 77^12
Minus invalides : sum over subsets
Mais une estimation brute et incorrecte serait mauvaise.

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