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Three forces act on the origin: ?⃗ 1 = (0.620?⃗ − 1.36?⃗ + 2.76?⃗⃗)????; ?⃗ 2...

Three forces act on the origin: ?⃗ 1 = (0.620?⃗ − 1.36?⃗ + 2.76?⃗⃗)????; ?⃗ 2 = (0.183?⃗ + 2.01?⃗ − 1.32?⃗⃗)????; ?⃗ 3 = (?3??⃗ + ?3??⃗ − ?3??⃗⃗). The resultant force ?⃗ ? = ?⃗ 1 + ?⃗ 2 + ?⃗ 3 acts straight up ?⃗ ? = ???⃗⃗ and has a magnitude of |?⃗ ?| = 3.82????. What are the magnitude and direction angles of ?⃗ 3?

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Answer #1

Now we will equate components in each direction separately:

IN x-direction:

In y-direction:

In z-direction:

Magnitude of F3:

Direction:

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