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Home » Use the Chinese Remainder Theorem. Let $ L = 7k $. Substitute into the second congruence: - Dyverse

Use the Chinese Remainder Theorem. Let $ L = 7k $. Substitute into the second congruence: - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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\cos \theta = \frac{5}{5 \cdot \sqrt{5}} = \frac{1}{\sqrt{5}} = \frac{...
\boxed{\frac{\sqrt{5}}{5}}
An astrophysics researcher models the trajectory of a star near a blac...
A vector $\mathbf{c}$ orthogonal to both $\mathbf{a}$ and $\mathbf{b}$...
\mathbf{c} = \mathbf{a} \times \mathbf{b} = \begin{vmatrix} \mathbf{i}...
Calculate the determinant:
\mathbf{c} = \mathbf{i}((-3)(-2) - (1)(4)) - \mathbf{j}((2)(-2) - (1)(...
= \mathbf{i}(6 - 4) - \mathbf{j}(-4 - 1) + \mathbf{k}(8 + 3)
= \mathbf{i}(2) + \mathbf{j}(5) + \mathbf{k}(11)
= \begin{pmatrix} 2 \\ 5 \\ 11 \end{pmatrix}

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