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--- 183_notes:cross_product [2014/11/18 15:31] – caballero
+++ 183_notes:cross_product [2014/11/18 15:33] (current) – caballero
@@ Line 28: / Line 28: @@
 We further cross-multiply to find the determinants of the 2-by-2 matrices,
- $\vec{B} \times \vec{C} = \hat{x}\left(B_yC_z - C_yB_z\right)- \hat{y} \left(B_x C_z - C_xB_z\right) + \hat{z} (B_xC_y - C_xB_y\right)$
+$$\vec{B} \times \vec{C} = \hat{x}\left(B_yC_z - C_yB_z\right)- \hat{y} \left(B_x C_z - C_xB_z\right) + \hat{z} \left(B_xC_y - C_xB_y\right)$$
+So, in general, the cross product in Cartesian coordinates is given by,
+$$\vec{B} \times \vec{C} = \langle B_yC_z - C_yB_z, C_xB_z-B_x C_z, B_xC_y - C_xB_y\rangle$$