Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Given below are two statements regarding unit vectors \( \hat{i}, \hat{j}, \hat{k} \): Statement I: The relations \( \hat{i} \times \hat{j} = \hat{k} \) and \( \hat{j} \times \hat{i} = -\hat{k} \) are both valid. Statement II: The vector product of any two mutually perpendicular unit vectors has a magnitude equal to zero. 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.