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Home » v_3 - 2v_1 = 3 \\ - Redraw

v_3 - 2v_1 = 3 \\ - Redraw

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 ResQuestion: A civil engineer in San Francisco is analyzing stress distribution in a bridge support during seismic events. The force vector acting on a critical joint is given by $\mathbf{F} = \langle 4, -3, 5 \rangle$ kN, and the displacement vector of the joint during deformation is $\mathbf{d} = \langle 2, 1, -1 \rangle$ meters. Compute the work done on the joint, defined as $W = \mathbf{F} \cdot \mathbf{d}$.

📌 A: $8 - 3 + (-5) = 0$ kJ

📌 B: $8 + (-3) + (-5) = -10$ kJ

📌 C: $4(2) + (-3)(1) + 5(-1) = 8 - 3 - 5 = 0$ kJ

📌 D: $4(2) + 3(1) + 5(-1) = 8 + 3 - 5 = 6$ kJ

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