The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

  • [AIPMT 2003]
  • [AIIMS 2012]
  • A

    Are equal to each other in magnitude

  • B

    Are not equal to each other in magnitude

  • C

    Cannot be predicted

  • D

    Are equal to each other

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Can the resultant of $2$ vectors be zero

  • [IIT 2000]

Three vectors $\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}}$ and $\overrightarrow{\mathrm{OR}}$ each of magnitude $A$ are acting as shown in figure. The resultant of the three vectors is $A \sqrt{x}$. The value of $x$ is. . . . . . . . .

  • [JEE MAIN 2024]