A compound microscope consists of two lenses: the objective lens and the eyepiece lens.
The objective lens forms a real, inverted image of the object at a short distance, which is further magnified by the eyepiece to form the final image.

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?