Question Number 48724 by indalecioneves last updated on 29/Nov/18
$${Hey},\:{everyone}! \\ $$$${Could}\:\:{someone}\:{help}\:{in}\:{this}\:{question}\:{below}? \\ $$$${The}\:{vectors}\:\left(\mathrm{1},\:\mathrm{2},\:\mathrm{5}\right),\:\left(\mathrm{3},\:\mathrm{2},\:\mathrm{1}\right)\:{and}\:\left(\mathrm{9},\:\mathrm{2},\:−\mathrm{11}\right)\:{in}\:\mathbb{R}^{\mathrm{3}} \:{generate}\:{the}\:{vector}\:{subspace}\:{to}\:{wich}\:{belongs}\:{the}\:{vector}? \\ $$$$\left.{a}\right)\:\left(−\mathrm{20},\:−\mathrm{8},\:\mathrm{12}\right) \\ $$$$\left.{b}\right)\:\left(\mathrm{2},\:\mathrm{10},\:\mathrm{33}\right) \\ $$$$\left.{c}\right)\:\left(\mathrm{9},\:\mathrm{10},\:\mathrm{18}\right) \\ $$$$\left.{d}\right)\:\left(\mathrm{5},\:\mathrm{2},\:−\mathrm{2}\right) \\ $$$$\left.{e}\right)\:\left(\mathrm{31},\:\mathrm{18},\:\mathrm{0}\right) \\ $$$${Why}\:{are}\:{my}\:{posts}\:{never}\:{resolved}? \\ $$$$ \\ $$$$ \\ $$
Commented by ajfour last updated on 30/Nov/18
$${The}\:{subspace}\:{extends}\:{from}\:{x}=\mathrm{1}\:{to} \\ $$$${x}=\mathrm{9},\:{y}=\mathrm{2},\:{z}=−\mathrm{11}\:{to}\:{z}=\mathrm{5} \\ $$$$\:\:{taking}\:{min}\:{and}\:{max}\:{of} \\ $$$$\:{x},{y},{and}\:{z}\:{coordinates}; \\ $$$${only}\:\left(\mathrm{5},\mathrm{2},−\mathrm{2}\right)\:{belongs}\:{to}\:{this}\:{region}. \\ $$
Answered by ajfour last updated on 29/Nov/18
$$\left.{d}\right)\:\left(\mathrm{5},\mathrm{2},−\mathrm{2}\right)\:. \\ $$
Commented by indalecioneves last updated on 30/Nov/18
$${Thank}\:{you},\:{Sir}! \\ $$$${But}\:{I}\:'{d}\:{like}\:{of}\:{resolution},\:{too}. \\ $$