difference between scalar and vector product of two vectors

Asked by  | 17th Jun, 2008, 04:36: PM

Expert Answer:

In mathematics, and physics 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.

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 dot product of two vectors gives a scalar quantity whereas the vector product a third vector which is pependicular to both the vectors.

Answered by  | 17th Jun, 2008, 08:21: PM

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