11.3 cross product

In order to find a vector in space that is orthogonal to two given vectors, we will need to find the cross product.

Definition: u x v = (u2v3-u3v2)I-(u1v3-u3v1)j+(u1v2-u2v1)k

Let's have one example.

Some algebraic properties of the cross product:

We also need to know the geometric properties

Finally,we need to know the notion of triple scalar product