geometria analitica

2⃗u = 2(2,-7) = (4,-14)

3⃗v = 3(6,8)   = (18,24)

2⃗u+3⃗v = (4,-14)+(18,24) = (22,10)

Alternativa B

Seja\(u=(2,-7)\\ v=(6,8)\)

Vamos encontrar \(2u\):

\(u=(2,-7)\\ 2u=2(2,-7)\\ 2u=(4,-14)\)

Vamos encontrar \(3v\):

\(v=(6,8)\\ 3v=3(6,8)\\ 3v=(18,24)\\ \)

Assim, vamos encontrar \(2u+3v\):

\(2u+3v=(4,-14)+(18,24)\\ 2u+3v=(4+18\:;-14+24)\\ 2u+3v=(22,10)\)

Portanto, 

\(\boxed{2u+3v=(22,10)}\)