Dot product is defined as the cosine of the angle a between two vectors u and v, multiplied by the lengths of both vectors:
u·v = |u||v|cos(a) (Geometric definition)
u·v = u.x*v.x + u.y*v.y + u.z*v.z (Algebraic definition -- used more often)
Thus, dot product is a scalar value.
The order of operands is not important:
u·v = v·u