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Home » the Lost Legacy of Admiral Tarkin: How He Shaped the Empire’s Rise and Falls! - 500apps

the Lost Legacy of Admiral Tarkin: How He Shaped the Empire’s Rise and Falls! - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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\begin{pmatrix} 1 \\ -2 \\ 3 \end{pmatrix} \times \begin{pmatrix} 4 \\...
= \mathbf{i}((-2)(-1) - (3)(0)) - \mathbf{j}((1)(-1) - (3)(4)) + \math...
= \mathbf{i}(2) - \mathbf{j}(-1 - 12) + \mathbf{k}(0 + 8) = 2\mathbf{i...
Thus, the vector is $\boxed{\begin{pmatrix} 2 \\ 13 \\ 8 \end{pmatrix}...
Question:** A linguist modeling word embeddings in 3D space defines tw...
Solution:** The dot product of two unit vectors is given by $\mathbf{u...
|\mathbf{u} \cdot \mathbf{v}| = |\cos 60^\circ| = \left|\frac{1}{2}\ri...
Question:** A cloud computing system routes data along vectors in $\ma...
Solution:** Let $\mathbf{v} = \begin{pmatrix} x \\ y \\ z \end{pmatrix...
\mathbf{v} \times \mathbf{a} = \begin{pmatrix} y(4) - z(-1) \\ z(2) -...

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Usando la fórmula cuadrática W = (-b ± √(b² - 4ac)) / 2a, donde a = 4,...
Calculando el discriminante: 2304 + 2736 = 5040.
Entonces, W = (-48 ± √5040) / 8.
Aproximando √5040 ≈ 71, obtenemos W = (-48 ± 71) / 8.
La solución positiva es W = (71 - 48) / 8 = 23 / 8 = 2.875 metros.
#### 2.875
Un tanque de agua tiene la forma de un cilindro circular recto con un...
El radio del cilindro es 4 metros / 2 = 2 metros.
El volumen de un cilindro se calcula mediante la fórmula V = πr²h, don...
Sustituyendo los valores conocidos, V = π * 2² * 6 = 24π metros cúbico...

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