Mathematics · JEE | VECTOR ALGEBRA

Given below are two statements: Statement I: For any two vectors \( \vec{a} \) and \( \vec{b} \), \( |\vec{a} \cdot \vec{b}| \leq |\vec{a}||\vec{b}| \) (Cauchy-Schwartz inequality). Statement II: For any two vectors \( \vec{a} \) and \( \vec{b} \), \( |\vec{a} + \vec{b}| > |\vec{a}| + |\vec{b}| \) (Triangle inequality). 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.