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fie dati vectorii u(-2;4) si v(3;2)
Afla coordonatele vectorilor a și b
a) a=u-v=
b) b=3u+2v=


Răspuns :

Răspuns:

[tex]u(-2,4); v(3,2)[/tex]

[tex]u=-2i+4j[/tex]

[tex]v=3i+2j[/tex]

[tex]a=u-v=-2i+4j-(3i+2j)=-2i-3i+4j-2j =i(-2-3)+j(4-2)[/tex]

[tex]=-5i+2j=> a(5,2)[/tex]

[tex]b=3u+2v=3(-2i+4j)+2(3i+2j)=-6i+12j+6i+4j=\\i(-6+6)+j(12+4)=0*i+16j=16j=>b(0,16)[/tex]