Given any two convex sets S and T in the affine space Am, and given λ, μ∈R such that  he M in kowskisum λS+μ T is the set   (i)Prove that λS+μ T is convex. Draw some M in kows kisums, in particular...

Given any two convex sets S and T in the affine space Am, and given λ, μ∈R such that
 he M in kowskisum λS+μ T is the set

(i)Prove that λS+μ T is convex. Draw some M in kows kisums, in particular when S and Taretetrahedra (with Tupsidedown). (ii)Show that the M in kowski sum does not preserve the center of gravity.