Read the following source carefully and answer the questions that follow:
The orders of the king
Thus speaks king Devanampiya Piyadassi: In the past, there were no arrangements for disposing affairs, nor for receiving regular reports. But I have made the following (arrangement). Pativedakas should report to me about the affairs of the people at all times, anywhere, whether I am eating, in the inner apartment, in the bedroom, in the cow pen, being carried (possibly in a palanquin), or in the garden. And I will dispose of the affairs of the people everywhere.
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?