Which of the following is not true about vectors $\vec{A}, \vec{B}$ and $\vec{C}$?

  • A
    $(\vec{A} \cdot \vec{A})(\vec{B} \cdot \vec{C})$ is a scalar value.
  • B
    $(\vec{A} \times \vec{B}) \cdot(\vec{B} \times \vec{C})$ is a scalar value.
  • C
    $(\vec{A} \times \vec{C}) \times(\vec{B} \times \vec{C})$ is a scalar value.
  • D
    $\vec{A} \times(\vec{B} \times \vec{C})$ is a vector value.

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If $\vec{A} + \vec{B} + \vec{C} = 0$,then $\vec{A} \times \vec{B}$ is equal to:

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