Question

Determinar o vetor w sabendo que (8,-4,5) + 3w = (0,4,11) - w. (Ref.: 201601792048)w=(-2,2,4)w=(-2,-2,4)W=(-1,-2,4)w=(-2,-2,-4)w=(-2,1,-4)

Answer 1

Dado u = (8,-4,5) e v = (0,4,11), temos:

$\displaystyle u+3w=v-w \\ \\ \\ 3w+w=v-u \\ \\ \\ 4w=v-u \\ \\ \\ w=\frac{1}{4}v-\frac{1}{4}u \\ \\ \\ w=\frac{1}{4} \cdot (0,4,11) -\frac{1}{4} \cdot (8,-4,5) \\ \\ \\ w = (0,1,\frac{11}{4})-(2,-1,\frac{5}{4}) \\ \\ \\ \boxed{w = (-2,2,\frac{3}{2})}$