Arrange the following in chronological order and choose the correct option:
I. Battle of Talikota
II. Establishment of Nagalpuram
III. Formation of Kamalpuram Tank
IV. Emergence of the Sultanate of Golconda
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?