$\vec{A}$ is a vector quantity such that $|\vec{A}|=$ nonzero constant. Which of the following expressions is true for $\vec{A}$ $?$

  • [JEE MAIN 2022]
  • A

    $\overrightarrow{ A }\cdot \overrightarrow{ A }=0$

  • B

    $\overrightarrow{ A } \times \overrightarrow{ A }<0$

  • C

    $\overrightarrow{ A } \times \overrightarrow{ A }=0$

  • D

    $\overrightarrow{ A } \times \overrightarrow{ A }>0$

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