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In a Situation Where an Object Can Move Only Along xx

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In a situation where an object can move only along the xx axis, a book states "the force on the object is F=\mathrm{F}= kxk x , where kk is a constant, and xx is the object's position coordinate." Is FF being used here as a shorthand symbol for F(A)|\vec{F}|(A) or Fx(C)F_{x}(C) ?
\bullet A
\bullet C

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