Physics

Problem

Two forces act on a particle:

\vec F_{1}=4\hat i-3\hat j+2\hat k\;\text{N}

and

\vec F_{2}=-6\hat i+5\hat j-\hat k\;\text{N}

. A third force

\vec F_{3}

is applied so that the particle remains in translational equilibrium. Which of the following gives the components of

\vec F_{3}

? a)

-2\hat i+2\hat j+\hat k\;\text{N}

-2\hat i-2\hat j-\hat k\;\text{N}

2\hat i-2\hat j-\hat k\;\text{N}

2\hat i-2\hat j+\hat k\;\text{N}