Difference between scalar and vector product of two vectors
In mathematics, the dot product , also known as the scalar product , is an operation which takes two vectors over the real numbers R and returns a real-valued scalar quantity. It is the standard inner product of the orthonormal Euclidean space.
In mathematics, the cross product is a binary operation on two vectors in a three-dimensional Euclidean space that results in another vector which is perpendicular to the two input vectors. By contrast, the dot product produces a scalar result. In many engineering and physics problems, it is handy to be able to construct a perpendicular vector from two existing vectors, and the cross product provides a means for doing so. The cross product is also known as the vector product
the scalar product of two vectors gives a scalar quantity where as the vector product gives a third vector which is perp. to both the vectors.