On the given political outline map of India, locate and label the following places with appropriate symbols:
(i) Rakhigarhi - a mature Harappan site
(ii) Ajanta - a Buddhist site
(iii) (a) Ajmer - a territory under Mughals OR (b) Agra - a territory under Mughals
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?