Two forces act on a particle: and

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two forces act on a particle:

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

and

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

(b)

-2\hat\imath-2\hat\jmath-\hat k\;\text{N}

(c)

2\hat\imath-2\hat\jmath-\hat k\;\text{N}

(d)

2\hat\imath-2\hat\jmath+\hat k\;\text{N}