Question

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

Answer 1

Răspuns:

$u(-2,4); v(3,2)$

$u=-2i+4j$

$v=3i+2j$

$a=u-v=-2i+4j-(3i+2j)=-2i-3i+4j-2j =i(-2-3)+j(4-2)$

$=-5i+2j=> a(5,2)$

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