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Home » Primero, utilizamos la identidad para la suma de cubos: - Malaeb

Primero, utilizamos la identidad para la suma de cubos: - Malaeb

📅 May 5, 2026 👤 scraface

May 05, 2026

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\vec{v} \cdot \vec{w} = 3x + (-2)(4) + x(-1) = 3x - 8 - x = 2x - 8
Set the dot product equal to zero:
2x - 8 = 0 \quad \Rightarrow \quad 2x = 8 \quad \Rightarrow \quad x =...
Thus, the value of $x$ that makes the vectors orthogonal is $\boxed{4}...
Question: An educator is using a STEM project to teach vector geometry...
Solution: Let the fourth vertex be $D = (x, y, z)$. In a regular tetra...
AB = \sqrt{(1-0)^2 + (0-1)^2 + (0-0)^2} = \sqrt{1 + 1} = \sqrt{2}
So all edges must be $\sqrt{2}$. Set up equations for $AD = BD = CD =...
$AD^2 = (x - 1)^2 + y^2 + z^2 = 2$
$BD^2 = x^2 + (y - 1)^2 + z^2 = 2$

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