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Home » \[ 31.4 = 2\pi r \] - inBeat

\[ 31.4 = 2\pi r \] - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 v_3 = 3 \\

📌 -v_2 = -2 \implies v_2 = 2

📌 إذن، $\mathbf{v} = \begin{pmatrix} v_1 \\ 2 \\ 3 \end{pmatrix}$، حيث يمكن أن يكون $v_1$ أي عدد حقيقي لأنه لا يؤثر على الضرب التقاطعي مع $\begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix}$. للحصول على حل خاص، نضع $v_1 = 0$:

📌 \mathbf{v} = \begin{pmatrix} 0 \\ 2 \\ 3 \end{pmatrix}

📌 \boxed{\begin{pmatrix} t \\ 2 \\ 3 \end{pmatrix}} \quad \text{حيث } t \in \mathbb{R}

📌 الإجابة النهائية:** $\boxed{\begin{pmatrix} t \\ 2 \\ 3 \end{pmatrix}}$ لأي عدد حقيقي $t$.

📌 السؤال: أوجد جميع الزوايا $z \in [0^\circ, 360^\circ]$ التي تحقق المعادلة $\cos 2z = \sin z$.

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