Calculate the cross product $\hat{i}\times \hat{j}$.

Solution

1. The cross product of standard basis vectors follows the cyclic order $\hat{i}\times \hat{j}=\hat{k}$, $\hat{j}\times \hat{k}=\hat{i}$, and $\hat{k}\times \hat{i}=\hat{j}$.
2. By definition, $\hat{i}\times \hat{j}=\hat{k}$.
3. Hence the answer is (C).