Vectores - Producto cruz

$$A\text{ x }B=\begin{vmatrix}a_y&a_z\\b_y&b_z\end{vmatrix}i-\begin{vmatrix}a_x&a_z\\b_x&b_z\end{vmatrix}j+\begin{vmatrix}a_x&a_y\\b_x&b_y\end{vmatrix}k$$

$$A\text{ x }B=(a_yb_z-b_ya_z)i-(a_xb_z-b_xa_z)j+(a_xb_y-b_xa_y)k$$

$$A\text{ x }B=\begin{vmatrix}i&j&k\\a_x&a_y&a_z\\b_x&b_y&b_z\end{vmatrix}$$

Determinante:

$$\begin{vmatrix}a&b\\c&d\end{vmatrix}=(a\cdot d)-(b\cdot c)$$