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Home » \( 0 = 40 - 9.8t \) - AMAZONAWS

\( 0 = 40 - 9.8t \) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \end{vmatrix} = \mathbf{i}(v_2 \cdot 3 - v_3 \cdot (-1)) - \mathbf{j}(v_1 \cdot 3 - v_3 \cdot 2) + \mathbf{k}(v_1 \cdot (-1) - v_2 \cdot 2)

📌 Set this equal to $\mathbf{d} = egin{pmatrix} -4 \ 5 \ 1 \end{pmatrix}$, leading to the system of equations:

📌 $3v_2 + v_3 = -4$

📌 $-3v_1 + 2v_3 = 5$

📌 $-v_1 - 2v_2 = 1$

📌 From equation (3): $v_1 = -1 - 2v_2$. Substitute into equation (2):

📌 -3(-1 - 2v_2) + 2v_3 = 5 \implies 3 + 6v_2 + 2v_3 = 5 \implies 6v_2 + 2v_3 = 2 \implies 3v_2 + v_3 = 1

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