According to the hyperplane separation theorem
Let A and B be two disjoint nonempty convex subsets of Rn. Then there exists a non-zero vector v and a real number c such that
$$ <x,v> \le c $$ and $$<y,v> \ge c $$
for all x in A and y in B; i.e., the hyperplane $$ <.,v> = c $$, v the normal vector, separates A and B
I am facing difficulties to understand what is the meaning of <.,v> and how does it represent hyperplane.
Appreciate your insights.