Dung is rich in organic matter and cellulose, ideal for methanogenic bacteria. It is affordable, abundant, and sustainable, producing renewable energy as biogas and nutrient-rich slurry, which serves as excellent manure for agricultural fields.
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?