Consider the unit vectors and and the set
Please I need your help.
I need to prove or disprove the following.
a_1 a_2 real numbers.
x, y both in R^3.
A is a convex set in R^3.
a.x in a.A and b.y in b.A. Then ax + by is in (a+b)A
(a.A, b.A, (a+b)A are all Homothetic transformations)