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In $\mathbb{R}^{2},$ let $S=\left\{\left[\begin{array}{l}{0} \\ {y}\end{array}\right] : 0 \leq y<1\right\} \cup\left\{\left[\begin{array}{l}{2} \\ {0}\end{array}\right]\right\} .$ Describe (or sketch) the convex hull of $S .$

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Calculus 3

Chapter 8

The Geometry of Vector Spaces

Section 3

Convex Combinations

Vectors

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

02:56

In mathematics, a vector (…

06:36

01:52

Sketch the solid described…

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02:45

0:00

03:22

$$\begin{array} { l } { y …

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$$\begin{array} { l l } { …

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Transforming a square Let …

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So I have illustrated in green the set s that we were given on to find its comics. Hall. Remember that if we pick any two points in the set, uh, then the lines have been joining them. Must be in the comics hole so we can do in any point on this vertical segment with the point to common zero on this, we're going to find a lot off lying segments that we're going to cover all these triangular region on all the segments must be in the comics whole of s, uh, avoiding this black dotted lied. So we can describe the comics whole off iss as what I draw. As a region of course, offices filled on this set can be described as the victories whose first card in it is greater than a report. ASI wrote on less than a recorded too, whose second coordinate is greater than or equal to zero on a strictly less uh, minus one half times X plus one. And this is the question of the black dotted line onto the set. We're going to add the vector to Syria

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