A force given by $\overrightarrow{\text{F}}={\text{f}}_{\text{x}}\widehat{\text{i}}+{\text{f}}_{\text{y}}\widehat{\text{j}}+{\text{f}}_{\text{z}}\widehat{\text{k}}$ acts on a particle which moves from $\left(a,b,c\right)$ to $\left(d,e,f\right)$ . The work done by the force $\mathrm{F}$ is : (Here $A_1,A_2,A_3$ are magnitude of area bounded)

   

• A

  ${\text{A}}_1{\text{+A}}_2{\text{+A}}_3$
• Correct answer
  B

  ${\text{A}}_1-{\text{A}}_2-{\text{A}}_3$
• C

  ${\text{-A}}_1{\text{+A}}_2{\text{-A}}_3$
• D

  ${\text{A}}_1{\text{-A}}_2{\text{+A}}_3$

Hence, the correct answer is option: 'B'.