Quote by myusernameis
I guess one of them is scalor and one of them is vector, but what is the REAL DIFFERENCE between them?
gracias

There are a lot of differences between them. The cross product can be thought of as a map from R^3 x R^3 to R^3. In other words it takes as input two 3D vectors, does something to them that produces a third vector in R^3 that happens to be orthogonal to both of the input vectors. The cross product is defined only for 3D vectors.
The dot product is much more general, and is one example of an operation called an inner product. A vector space with the additional structure of an inner product is called an inner product space. The dot product you're probably familiar makes R^2 and R^3 (and R^n) inner product spaces. Besides vector spaces, function spaces can have inner products defined for them, and they can be defined in a variety of ways: as a sum or an integral or as a product of matrix multiplication. In all cases the inner product results in a number, so can be thought of as a mapping from V x V to a field such as R.
If you search Wikipedia using "inner product" or "dot product" or "inner product" you'll find a lot more information.
Mark