Cross Product in Component Form

Cross Product in Component Form

For:

$$\vec a=a_1\hat i+a_2\hat j+a_3\hat k$$

and:

$$\vec b=b_1\hat i+b_2\hat j+b_3\hat k$$

we have:

$$\vec a\times\vec b=(a_2b_3-a_3b_2)\hat i+(a_3b_1-a_1b_3)\hat j+(a_1b_2-a_2b_1)\hat k$$

Usage

- Used for numerical calculation of cross products.