Match List-I with List-II List-I List-II (A) Area of triangle Δ with adjacent sides $\vec{a}$ and $\vec{b}$ (I) $\vec{a}×\vec{b}$ (B) Area of parallelogram with adjacent side $\vec{a}×\vec{b}$ (II) $\frac{1}{2}|\vec{a}×\vec{b}|$ (C) $(\vec{a}-\vec{b})×(\vec{a}×\vec{b})$ (III) $|\vec{a}×\vec{b}|$ (D) $|\vec{a}||\vec{b}|sin \theta \hat{n}$, where symbols have their usual meaning (IV) $2(\vec{a}×\vec{b})$ Choose the correct answer from the options given below :

(A)-(III),(B)-(IV), (C)-(I), (D)-(II) (A)-(IV),(B)-(I), (C)-(III), (D)-(II) (A)-(II),(B)-(III), (C)-(IV), (D)-(I) (A)-(II),(B)-(IV), (C)-(III), (D)-(I)

(A)-(II),(B)-(III), (C)-(IV), (D)-(I)