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