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Home » Let \( y = \cos\theta \), then: - DNSFLEX

Let \( y = \cos\theta \), then: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 = \mathbf{i}(y \cdot 3 - z \cdot (-1)) - \mathbf{j}(x \cdot 3 - z \cdot 2) + \mathbf{k}(x \cdot (-1) - y \cdot 2)

📌 = \mathbf{i}(3y + z) - \mathbf{j}(3x - 2z) + \mathbf{k}(-x - 2y)

📌 = \langle 3y + z, -3x + 2z, -x - 2y \rangle

📌 Set equal to $ \langle 4, 5, -1 \rangle $:

📌 3y + z = 4 \quad \text{(1)}\\

📌 -3x + 2z = 5 \quad \text{(2)}\\

📌 -x - 2y = -1 \quad \text{(3)}

📌 Solve step by step.

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