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Since only full samples count, 67 complete samples. - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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Using the identity $ \mathbf{a} \times (\mathbf{v} \times \mathbf{a})...
\|\mathbf{a}\|^2 \mathbf{v} = \mathbf{a} \times \mathbf{b}
Compute $ \|\mathbf{a}\|^2 = 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14 $
Now compute $ \mathbf{a} \times \mathbf{b} $:
\mathbf{a} \times \mathbf{b} = \begin{vmatrix}
& -2 & 1 \\
\end{vmatrix} = \mathbf{i}(2 \cdot 1 - 3 \cdot (-2)) - \mathbf{j}(1 \c...
= \mathbf{i}(2 + 6) - \mathbf{j}(1 - 3) + \mathbf{k}(-2 - 2) = \langle...
14\mathbf{v} = \langle 8, 2, -4 \rangle \quad \Rightarrow \quad \mathb...
Thus, the vector is $ \boxed{\left\langle \dfrac{4}{7}, \dfrac{1}{7},...

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