**i****×****i**=**0****j****×****j**=**0****k****×****k**=**0**

Say that the vector **u** is represented by
**u** = (u_{i} , u_{j} , u_{k} )^{T}

and that the vector **v** is represented by
**v** = (v_{i} , v_{j} , v_{k} )^{T}.

Then
**u** **×** **v** =
(
u_{j} v_{k} - u_{k} v_{j} ,
u_{k} v_{i} - u_{i} v_{k} ,
u_{i} v_{j} - u_{j} v_{i}
)^{T}.

There is a pattern in how this is formed. Look at it a bit. But don't even think of memorizing it.