Statement 1: The vectors $\vec{a}, \vec{b}$ and $\vec{c}$ lie in the same plane if and only if $\vec{a} \cdot(\vec{b} \times \vec{c})=0$ Statement 2: The vectors $\vec{u}$ and $\vec{v}$ are perpendicular if and only if $\vec{u} \cdot \vec{v}=0$ where $\vec{u} \times \vec{v}$ is a vector perpendicular to the plane of $\vec{u}$ and $\vec{v}$

• A

  Statement 1 is false, Statement 2 is true.
• B

  Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation for Statement 1.
• Correct answer
  C

  Statement 1 is true, Statement 2 is false.
• D

  Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.

Hence, the correct answer is option: 'C'.