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March 23rd, 2014, 07:57 AM   #1
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Convex Hull Problem

Hi, Iam new to the forum.....I am B-tech student but week 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 is from the topic convex hull...


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.
Harsha Krishna K is offline  
March 24th, 2014, 12:53 PM   #2
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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.
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Evgeny.Makarov is offline  
March 25th, 2014, 05:00 AM   #3
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Re: Convex Hull Problem

Thank you for helping me was given as an assignment for me......
Harsha Krishna K is offline  
March 26th, 2014, 07:18 AM   #4
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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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