As shown, three forces, $F_1,F_2,$ and $F_3,$ act at the same point on an object. $($Figure $2)$ The point of application is the origin

of a Cartesian coordinate system. $F_1,$ which has a magnitude of $F_1=16\mathrm{.}0kN,$ is in the $y-z$ plane and is described by an

angle ${}_1=31\mathrm{.}0$ degrees. $F_2$ is in the $x-z$ plane and is described by integer lengths of a similar right triangle; its magnitude

is $F_2=25\mathrm{.}0kN.$ If the sum of the forces is equal to zero, what is the magnitude of $F_3?$

Express your answer numerically in kilonewtons to three significant figures.

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Part C

What are the angles ${}_3,{}_3,$ and ${}_3$ for the force $F_3=23\mathrm{.}1i+(-13\mathrm{.}7j)+(-1\mathrm{.}37k)$ in Part B$?($Figure $3)$

Express your answers numerically in degrees to three significant figures separated by commas.

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${}_3,{}_3,{}_3=$

degrees

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Figure

$2$ of $3$

Figure

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