Cross Product

Works on 3-element rank-1 tensors i.e., 3D Vector.

A⃗×B⃗=∣i^j^k^AxAyAzBxByBz∣=(AyBz−AzBy)i^+(AzBx−AxBz)j^+(AxBy−AyBx)k^\vec{A} \times \vec{B} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ A_x & A_y & A_z \\ B_x & B_y & B_z \end{vmatrix} = (A_y B_z - A_z B_y)\hat{i} + (A_z B_x - A_x B_z)\hat{j} + (A_x B_y - A_y B_x)\hat{k}