Question #10950266

# Show that the following is a convex set (vectors)?

**A set of vectors is called a convex set if the following holds:
Whenver U and V belong to the set, so does AU + (1-A)V for any scalar A between 0 and 1.
Consider set Ra,b with one corner at origin and far corner at point <a,b>.
Ra,b = {<x,y>|o<x<a, 0<y<b}
(the < denotes less than or equal to)
Show that Ra,b is a convex set.
**

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