It may or may not be changed. For example, when a vector is multiplied by a pure number (like 1,2,3,4,...... etc), then the nature of the vector does not change. On the other hand, when a vector is multiplied by a scalar physical quantity, then the nature of the vector changes.
For example, when an acceleration (vector) is multiplied by a mass (scalar) of a body, it gives a force (vector quantity) whose nature is different than acceleration.