Figure

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 $F_1=17\mathrm{.}5$

kN $,$ is in the $y-z$ plane and is described by an angle ${}_1=32\mathrm{.}0$ degrees. $F_2$ is in the $x-z$ plane and

is described by integer lengths of a similar right triangle; its magnitude is $F_2=18\mathrm{.}0kN.$ 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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