The condition $( a \cdot b )^2=a^2 b^2$ is satisfied when

  • A
    $a$ is parallel to $b$
  • B
    $a \neq b$
  • C
    $a \cdot b =1$
  • D
    $a \perp b$

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  • [JEE MAIN 2021]

Show that the scalar product of two vectors obeys the law of distributive.