(Solved): Calculate the following: (a) \( \hat{z} \times \hat{y} \) (Cartesian) (b) \( \hat{z} \times \hat{z ...

Calculate the following: (a) \( \hat{z} \times \hat{y} \) (Cartesian) (b) \( \hat{z} \times \hat{z} \) (Cartesian) (c) \( \hat{x} \times \hat{z} \) (Cartesian) (d) \( \hat{r} \times \hat{\phi} \) (Spherical) (e) \( \hat{r} \times \hat{\phi} \) (Cylindrical) (f) \( \hat{\phi} \times \hat{\theta} \) (Spherical) (g) \( \hat{\phi} \times(\hat{z}+\hat{\phi}) \) (Cylindrical) (h) \( \hat{\phi} \times(2 \hat{r}+\hat{\phi}+\hat{z}) \) (Cylindrical)