Match List-I with List-II

Choose the correct answer from the options given below:

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

The correct answer is Option (1) → (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

(A) $\hat{i} \cdot (\hat{j} \times \hat{k})$: $\hat{j} \times \hat{k} = \hat{i}$, so $\hat{i} \cdot \hat{i} = 1$ → (II)

(B) $\hat{j} \cdot (\hat{i} \times \hat{k})$: $\hat{i} \times \hat{k} = -\hat{j}$, so $\hat{j} \cdot (-\hat{j}) = -1$ → (III)

(C) $\hat{i} \times (\hat{j} \times \hat{k})$: $\hat{j} \times \hat{k} = \hat{i}$, so $\hat{i} \times \hat{i} = \vec{0}$ → (IV)

(D) $\hat{j} \times \hat{i} = -\hat{k}$ → (I)