Physics · WORK, ENERGY AND POWER

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The scalar product of two mutually perpendicular non-zero vectors is always zero. Reason (R): The scalar product of two vectors \( \mathbf{A} \) and \( \mathbf{B} \) is defined as \( \mathbf{A}\cdot\mathbf{B} = AB\cos\theta \), and \( \cos 90^\circ = 0 \). In the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.