Question

calcular o vetor oposto de ab, sendo a=(1,3,2) e b=(0,-2,3)

Answer 1

Vetor AB = B-A
Por ser oposto ficara A-B
Logo:
(1-0; 3-(-2); 2-3)=
(1; 3+2; -1)=
(1; 5; -1)

Answer 2

✅ Após resolver os cálculos, concluímos que o vetor oposto do referido vetor é:

          $\Large\displaystyle\begin{gathered} \vec{v}_{o} = (1, 5, -1)\end{gathered}$

Sejam os pontos:

          $\Large\begin{cases} A = (1, 3, 2)\\B = (0, -2, 3)\end{cases}$

Para calcular o vetor oposto devemos fazer:

        $\Large\displaystyle\begin{gathered} \vec{v}_{o} = (-1)\cdot\vec{v}\end{gathered}$

              $\Large\displaystyle\begin{gathered} = (-1)\cdot\overrightarrow{AB}\end{gathered}$

              $\Large\displaystyle\begin{gathered} = (-1)\cdot\left[B - A\right]\end{gathered}$

              $\Large\displaystyle\begin{gathered} = (-1)\cdot\left[(0, -2, 2) - (1, 3, 2)\right]\end{gathered}$

               $\Large\displaystyle\begin{gathered} = (-1)\cdot\left[0 - 1, -2 - 3, 3 - 2\right]\end{gathered}$

                $\Large\displaystyle\begin{gathered} = (-1)\cdot\left[-1, -5, 1\right]\end{gathered}$

                $\Large\displaystyle\begin{gathered} = (1, 5, -1)\end{gathered}$

✅ Portanto, o vetor oposto é:

         $\Large\displaystyle\begin{gathered} \vec{v}_{o} = (1, 5, -1)\end{gathered}$

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