March 23rd, 2014, 07:57 AM  #1 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Convex Hull Problem
Hi, Iam new to the forum.....I am Btech student but week mathematics.....so please help me to solve my problem as soon as possible....... problem is from a previous year question paper. it is from the unit Linear algebra ....it is from the topic convex hull... problem... For a1(6,6) , a2(9,12) , a3(3,9) , with lamda1=1/3 , lamda2=1/3 , lamda3=1/3 (so that lamda1+lamda2+lamda3=1 and all lamda>0 ). Find the convex hull and represent it. 
March 24th, 2014, 12:53 PM  #2 
Senior Member Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108  Re: Convex Hull Problem
Given points , , , the numbers , , represent a single point with coordinates . The convex hull of , , is (the inside of) a triangle with vertices in those points. It can be written as I am not sure if this is the representation the problem asks for. 
March 25th, 2014, 05:00 AM  #3 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Re: Convex Hull Problem
Thank you for helping me ..........it was given as an assignment for me......

March 26th, 2014, 07:18 AM  #4 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Convex Hull Problem
You seem to be a bit confused about your definitions or at least your notation. The "convex hull" of three points in a plane is the triangle having those points as vertices together with its interior. It is true that any point in the convex hull of points P, Q, and R can be written as for some numbers , , and all between 0 and 1 and such that . For the very special case of , that point is the centroid of the triangle. 

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