Normal vector of a Hyperplane

Question

I'm reading convex optimization by Boyd and I have a problem with normal of a hyperplane

how many normal can we assume for a hyperplane at just one point?

is it true that we can assume many vectors with different length (and all of them can be normal) at just one point so we have many normal for a hyperplane

Answer 1

A hyperplane has two unit normals, one for each side of the plane. A hyperplane divides a space into two halfspaces, each of which can be associated with one of the two unit normals. -- Michael Grant