Simple question: is the cross product defined in R^n ? In my linear algebra textbook, they talk about the dot product in lenght but don't even mention the cross product.
That's exactly what I was trying. And I think I'm on the right track to proving distributivity.Galileo said:That's a fairly difficult problem in general. Usually they start with the geometric definition, then show that the cross-product is distributive: A X (B+C)=(A X B)+(A X C)
Then you can derive the algebraic definition by writing the vectors out in components and use distributivity. Proving distributivity is not very easy, but certainly doable.
Good luckquasar987 said:That's exactly what I was trying. And I think I'm on the right track to proving distributivity.