Oh, you're right. I just glanced over the equation and I thought I should recommend the standard notation. But as you stated, the cross product is clearly wron

Oh, you're right. I just glanced over the equation and I thought I should recommend the standard notation. But as you stated, the cross product is clearly wrong as given by the author. There's obviously no other way than defining it with a totally antisymmetric quantity like the Levi-Civita symbol.