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JEE Mains · Physics · STD 11 - 3.1 vectors

Statement \(I:\) If three forces \(\vec{F}_{1}, \vec{F}_{2}\) and \(\vec{F}_{3}\) 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 taken in the same order, satisfy the condition for translatory equilibrium. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. A Statement\(-I\) is false but Statement\(-II\) is true
  2. B Statement\(-I\) is true but Statement\(-II\) is false
  3. C Both Statement\(-I\) and Statement\(-II\) are false
  4. D Both Statement\(-I\) and Statement\(-II\) are true.
Verified Solution

Answer & Solution

Correct Answer

(D) Both Statement\(-I\) and Statement\(-II\) are true.

Step-by-step Solution

Detailed explanation

Here \(\overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}+\overrightarrow{{F}}_{3}=0\) \(\overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}=-\overrightarrow{{F}}_{3}\) Since \(\overrightarrow{{F}}_{\text {net }}=0\) (equilibrium) Both statements correct
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