Statement I: If three forces ${\overrightarrow{F}}_1, {\overrightarrow{F}}_2$ and ${\overrightarrow{F}}_3$ are represented by three sides of a triangle and $\overrightarrow{F_1}+\overrightarrow{F_2}=-{\overrightarrow{F}}_3,$ then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement II: A triangle made up of three forces $\overrightarrow{F_1}, \overrightarrow{F_2}$ and $\overrightarrow{F_3}$ as its sides were taken in the same order, satisfies the condition for translatory equilibrium.
In the light of the above statements, choose the most appropriate answer from the options given below:

• Correct answer
  A

  Both Statement I and Statement II are true.
• B

  Statement I is true but Statement II is false.
• C

  Both Statement I and Statement II are false.
• D

  Statement I is false but Statement II is true.

Solution

Use triangle law of vector addition, 

here, ${\overrightarrow{F}}_1+{\overrightarrow{F}}_2+{\overrightarrow{F}}_3=0$, since net force is zero it means the body is in equilibrium so both the statements are correct.

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