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.**