>> V_0=[1;1]
V_0 =

     1
     1
>> V_1=[2;3]
V_1 =

     2
     3

r=[0:0.01:1]
>> size(r)
ans =
     1   101

V_01=V_0*(1-r)+V_1*r;
plot(1,1,'o')
hold on
plot(2,3,'o')
hold on
plot(V_01(1,:),V_01(2,:))


V_2=[3;-1]
V_02=V_0*(1-r).^2 + V_1*(2*r.*(1-r)) + V_2*r.^2;
plot(3,-1,'o')
hold on
plot(V_02(1,:),V_02(2,:))

V_3=[5;6]

V_03=V_0*(1-r).^3 + V_1*(3*(1-r).^2.*r) + V_2*(3*(1-r).*r.^2) + V_3*r.^3;

plot(5,6,'o')
hold on
plot(V_03(1,:),V_03(2,:),'-')