Match List-I with List-II
Let \(\theta\) be the angle between the vector \(\vec{a}\) and \(\vec{b}\).

List-I	List-II
(A) \(\vec{a} \cdot \vec{b}\)	(I) \(\frac{1}{10} \log \left|\frac{5+x}{5-x}\right|+C\)
(B) \(\vec{a} \times \vec{b}\)	(II) \(\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|^2} \vec{b}\)
(C) Projection vector of \(\vec{a}\) on \(\vec{b}(\neq 0)\)	(III) \(|\vec{a}||\vec{b}| \sin \theta \hat{n}\) where \(\hat{n}\) is a unit vector perpendicular to both \(\vec{a}\) and \(\vec{b}\)
(D) \(\vec{a}\) and \(\vec{b}\) are orthogonal vectors	(IV) \(|\vec{a}||\vec{b}| \cos \theta\)

Choose the correct answer from the options given below:

1. A (A) - (I), (B) - (II), (С) – (III), (D) – (IV)
2. B (A) - (IV), (B) - (І), (С) - (III), (D) - (II)
3. C (A) - (IV), (B) - (III), (С) – (I), (D) - (II)
4. D (А) - (II), (В) - (IV), (C) - (I), (D) - (III)