Hey-everyone-Could-someone-help-in-this-question-below-The-vectors-1-2-5-3-2-1-and-9-2-11-in-R-3-generate-the-vector-subspace-to-wich-belongs-the-vector-a-20-8-12-b-2-10-

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Question Number 48724 by indalecioneves last updated on 29/Nov/18

$$Hey,everyone!$$$$Couldsomeonehelpinthisquestionbelow?$$$$Thevectors(1,2,5),(3,2,1)and(9,2,-11)in{\mathbb{R}}^{3}generatethevectorsubspacetowichbelongsthevector?$$$$a)(-20,-8,12)$$$$b)(2,10,33)$$$$c)(9,10,18)$$$$d)(5,2,-2)$$$$e)(31,18,0)$$$$Whyaremypostsneverresolved?$$$$$$$$$$

Commented by ajfour last updated on 30/Nov/18

$$Thesubspaceextendsfromx=1to$$$$x=9,y=2,z=-11toz=5$$$$takingminandmaxof$$$$x,y,andzcoordinates;$$$$only(5,2,-2)belongstothisregion.$$

Answered by ajfour last updated on 29/Nov/18

$$d)(5,2,-2).$$

Commented by indalecioneves last updated on 30/Nov/18

$$Thankyou,Sir!$$$$ButI{}^{\prime }dlikeofresolution,too.$$

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