Question

Se considera vectorii ū=3ī-j si v=mī+j. Sa se determine parametrul real m,stiind ca cei doi vectori au acelasi modul.
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Answer 1

Hei! :)

$u\ (vector)=3i-j\\v\ (vector)=mi+j\\\\|u|=\sqrt{3^{2}+1^{2} } =\sqrt{10} \\|v|=\sqrt{m^{2}+1^{2} } \\=> |u|=|v| => \sqrt{m^{2}+1^{2} }=\sqrt{10}\ /^{2} \\m^{2}+1=10\\m^{2}=9 => m=(-3, +3)$