Calculus 3 Quiz
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VECTORS & 3D GEOMETRY
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A constant force F⃗=⟨8,−6,4⟩\vec{F} = \langle 8, -6, 4 \rangle moves a particle along three consecutive displacement segments: d1⃗=⟨2,0,−1⟩\vec{d_1} = \langle 2, 0, -1 \rangle, d2⃗=⟨0,3,2⟩\vec{d_2} = \langle 0, 3, 2 \rangle, and d3⃗=⟨−1,1,0⟩\vec{d_3} = \langle -1, 1, 0 \rangle. If the total work done is WtotalW_{total} and the work done along the straight-line path from start to finish is WdirectW_{direct}, what is Wtotal−WdirectW_{total} - W_{direct}?
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