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(A) According to the triangle law of vector addition,if three forces acting on a particle are represented by the three sides of a triangle taken in th

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$\vec{v}$ remaining unchanged

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(A) According to the triangle law of vector addition,if three forces acting on a particle are represented by the three sides of a triangle taken in the same order,their resultant is zero.In the given figure,the forces are represented by vectors $\vec{AB},$ $\vec{BC},$ and $\vec{CA}.$ Since they are in cyclic order,their sum is $\vec{F}_{net} = \vec{AB} + \vec{BC} + \vec{CA} = 0.$According to Newton's first law of motion,if the net external force on a particle is zero,its acceleration is zero.Therefore,the velocity $\vec{v}$ of the particle remains unchanged.

Three forces start acting simultaneously on a particle moving with velocity $\vec{v}.$ These forces are represented in magnitude and direction by the three sides of a triangle $ABC$ (as shown). The particle will now move with velocity

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