Physics · WORK, ENERGY AND POWER

Given below are two statements: Statement I: The scalar product of two vectors is non-commutative, such that \( \mathbf{A}\cdot\mathbf{B} = -\mathbf{B}\cdot\mathbf{A} \). Statement II: The scalar product of two vectors does not obey the distributive law over vector addition. In the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Both Statement I and Statement II are correct.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Statement I is correct but Statement II is incorrect.
4. D
   Statement I is incorrect but Statement II is correct.