Physics · WORK, ENERGY AND POWER

Given below are two statements regarding power: Statement I: Instantaneous power can be expressed as the scalar product of force vector and instantaneous velocity vector, \( P = \mathbf{F} \cdot \mathbf{v} \). Statement II: Power is a vector quantity having dimensions \( [\text{M L}^2 \text{T}^{-3}] \). 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.