Question

Dados os vetores a= (-1,1,2) e b=(2,0,4) determine o vetor v tal que 2a-3b=2v

Answer 1

2(-1,1,2) -3(2,0,4)=(-2,2,4)+(-6,0,-12)

=(-8,2,-8)=>

Tomemos v=(a,b,c), então 2v=2(a,b,c)

=> 2v=(2a,2b,2c)

=> (2a,2b,2c)=(-8,2,-8)=>2a=-8=>a=-4

=>2b=2=> b=1 e 2c=-8=>c =-4

portanto, v=(a,b,c) = (-4,1,-4)