Fill in the blank with the suitable option given below:
The Revolt of 1857 marked the end of the ___________ dynasty in India.
Identify the ruler from Indian history with the following information:
- Ruler of Bhopal
- Ruled from 1868 to 1901 CE
- Helped in preserving the Sanchi Stupa
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?