The dot product of two vectors is also called the "scalar product", which means the result has no direction. Therefore dot product is commutative -- in other words, vector A `*` vector B = vector B`*` vector A. For dot product, vector A `*` vector B= AB cos`theta` .

For cross product we use the cross symbol "x" to represent this procedure and that's why it is called "cross product". Cross product has both magnitude and direction, and so cross product is NOT commutative.vector A ` ` vector B won't equal to vector B` ` vector A, in stead vector A`` x vector B = - vector ``B x vector A. If the cross product is vector C then vector C equals to AB sin`theta` .