1. Employment Opportunities: Regions with industrial and commercial hubs, such as urban centers, attract large populations. Example: New York City.
2. Economic Stability: Areas with higher incomes and better living standards, like Western Europe, have denser populations.
3. Agricultural Productivity: Fertile plains like the Ganga Basin in India support dense rural populations.
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?