Mathematics · JEE | VECTOR ALGEBRA

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The vector product of two vectors is not commutative. Reason (R): For any two vectors \( \vec{a} \) and \( \vec{b} \), \( \vec{a} \times \vec{b} = -(\vec{b} \times \vec{a}) \). 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.