Why Does the Cross Product Give a Different Direction Than Expected?

[fishingspree2]

I am trying to compute
-dx i CROSS -x i -y j
i,j,k are the unit vectors

x is from -∞ to ∞ and y can only be negative.

Right hand rule tells me that the cross should be in the negative k direction but computing the cross product gives me y dx k.

What's wrong?

 

[Dick]

I am trying to compute
-dx i CROSS -x i -y j
i,j,k are the unit vectors

x is from -∞ to ∞ and y can only be negative.

Right hand rule tells me that the cross should be in the negative k direction but computing the cross product gives me y dx k.

What's wrong?

I don't think anything is wrong. i x j=k. You might be imagining k pointing in the wrong direction when you are doing the right hand rule.