If $\overrightarrow A \times \overrightarrow B=\overrightarrow B \times \overrightarrow A$ then the angle between $\overrightarrow A$ and $\overrightarrow B$ is

  • [AIEEE 2004]
  • A

    $\pi / 2$

  • B

    $\pi / 3$

  • C

    $\pi$

  • D

    $\pi / 4$

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  • [JEE MAIN 2022]

Why the product of two vectors is not commutative ?

Two vector $A$ and $B$ have equal magnitudes. Then the vector $\mathop A\limits^ \to + \mathop B\limits^ \to $ is perpendicular to