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Home » The Shocking Truth About the Guardians of Ga’hoole You Won’t Want to Miss! - High Altitude Science

The Shocking Truth About the Guardians of Ga’hoole You Won’t Want to Miss! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Solution: The area of the parallelogram formed by vectors $ \vec{a} $ and $ \vec{b} $ is the magnitude of their cross product:

📌 \vec{a} \times \vec{b} =

📌 & 5 & 6 \\

📌 = \mathbf{i}(2 \cdot 6 - 3 \cdot 5) - \mathbf{j}(1 \cdot 6 - 3 \cdot 4) + \mathbf{k}(1 \cdot 5 - 2 \cdot 4)

📌 = \mathbf{i}(12 - 15) - \mathbf{j}(6 - 12) + \mathbf{k}(5 - 8)

📌 = (-3, 6, -3).

📌 Then, the magnitude is:

📌 \|\vec{a} \times \vec{b}\| = \sqrt{(-3)^2 + 6^2 + (-3)^2} = \sqrt{9 + 36 + 9} = \sqrt{54}

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