Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | |||
| 183_notes:cross_product [2014/11/18 15:31] – caballero | 183_notes:cross_product [2014/11/18 15:33] (current) – caballero | ||
|---|---|---|---|
| Line 29: | Line 29: | ||
| $$\vec{B} \times \vec{C} = \hat{x}\left(B_yC_z - C_yB_z\right)- \hat{y} \left(B_x C_z - C_xB_z\right) + \hat{z} \left(B_xC_y - C_xB_y\right)$$ | $$\vec{B} \times \vec{C} = \hat{x}\left(B_yC_z - C_yB_z\right)- \hat{y} \left(B_x C_z - C_xB_z\right) + \hat{z} \left(B_xC_y - C_xB_y\right)$$ | ||
| + | |||
| + | So, in general, the cross product in Cartesian coordinates is given by, | ||
| + | |||
| + | $$\vec{B} \times \vec{C} = \langle B_yC_z - C_yB_z, C_xB_z-B_x C_z, B_xC_y - C_xB_y\rangle$$ | ||