During secondary treatment of sewage, the BOD of the effluent is reduced through the following processes:
- Consumption of organic matter: Aerobic microorganisms in the effluent consume the organic matter.
- Formation of flocs: Microbial activity leads to the formation of flocs, which are aggregations of bacteria and fungi.
- Decomposition of organic matter: Organic matter is broken down into simpler substances like carbon dioxide and water.
- Separation of activated sludge: The flocs settle down as activated sludge, further reducing the organic load.
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?