Quote:
Originally Posted by Elroch
A little more completely, a vector gives a real value to every point . The points at which is zero form a hyperplane. The points at which is positive are on one side of the hyperplane, the points at which is negative are on the other side. Changing from to , all the values of are multiplied by . As a result, the hyperplane stays the same, but the two regions defined by the sign of the value of the scalar product swap over.

So then the answer to my question was "yes?"