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Homework Statement
Let x=(1,0,0) y=(2,1,0) and z=(2,2,1) be column vectors in R3. Consider the set V={tx+sy+uz 0[tex]\leq[/tex]t,s,u[tex]\leq[/tex]1}. What does this look like specifically?
Homework Equations
n/a
The Attempt at a Solution
No work here, just a thinking problem, but I thought that the set V would fill the solid (a paralellapipid?) formed by the three vectors x,y, and z. Is this correct? Other than visualization, I suppose a reason for this would be that it is analagous to a similar problem in R2 in which the set vills the parallelogram formed by the two vectors. Thanks.
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