If A and B are rectangular vectors, then we can write:
A=4i+5j+6k and B=xi+yj+zk
The right-hand rule is:
X-product of unit vectors |
i |
j |
k |
i |
0 |
k |
-j |
j |
-k |
0 |
i |
k |
j |
-i |
0 |
Their cross-product B X A={x,y,z}{4,5,6}=5xk-6xj-4yk+6yi+4zj-5zi=
(6y-5z)i+(4z-6x)j+(5x-4y)k={6y-5z,4z-6x,5x-4y}.