Observe the population growth curve and answer the questions given below:

(a) State the conditions under which growth curve ‘A’ and growth curve ‘B’ plotted in the graph are possible.
- Growth curve ‘A’ (Exponential growth): This type of growth occurs under ideal conditions, where there are no limitations on resources such as food, space, or other environmental factors.
- Growth curve ‘B’ (Logistic growth): Logistic growth takes place under natural conditions where resources are limited. Environmental resistance, such as competition and predation, slows down the growth and stabilizes the population at the carrying capacity.
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?