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183_notes:cross_product [2014/11/18 15:31] – caballero | 183_notes:cross_product [2014/11/18 15:31] – caballero | ||
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We further cross-multiply to find the determinants of the 2-by-2 matrices, | 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} |