Problem 4. (10pts). An object at the origin is acted on by the forces $\vec{F_1} = -10\vec{i} + 20\vec{k}$; $\vec{F_2} = 40\vec{j} + 10\vec{k}$; and$\vec{F_3} = -50\vec{i} + 20\vec{j}$ Find the magnitude of the combined force, and use a sketch to illustrate the direction of the combined force.
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Step 1: The combined force is the vector sum of the individual forces: F = F1 + F2 + F3 = (-10i + 20k) + (40j + 10k) + (-50i + 20j) = -60i + 60j + 30k Show more…
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Combined force An object at the origin is acted on by the forces F1 = 20i - 10j, F2 = 30j + 10k, and F3 = 40i + 20k. Find the magnitude of the combined force and describe the approximate direction of the force
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Combined force An object at the origin is acted on by the forces $\mathbf{F}_{1}=20 \mathbf{i}-10 \mathbf{j}, \mathbf{F}_{2}=30 \mathbf{j}+10 \mathbf{k},$ and $\mathbf{F}_{3}=40 \mathbf{i}+20 \mathbf{k} .$ Find the magnitude of the combined force and describe the approximate direction of the force.
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