Cell notation: \( \text{Al} | \text{Al}^{3+} (0.001 \, \text{M}) || \text{Ni}^{2+} (0.001 \, \text{M}) | \text{Ni} \)
Cell potential (Ecell):
\( E_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} = (-0.25 \, \text{V}) - (-1.66 \, \text{V}) = 1.41 \, \text{V} \)


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?