Questão 2421747

Sejam as retas no R³, \(r_1\) : \(\begin{pmatrix} x \\ y \\ z \\ \end{pmatrix}\) = \(\begin{pmatrix} 2 \\ 1,5 \\ 0 \\ \end{pmatrix}\) \(+\lambda\) \(\begin{pmatrix} -10 \\ 5 \\ 0 \\ \end{pmatrix}\) com \(\lambda \in R\) e \(r_2:\) \(\begin{pmatrix} x \\ y \\ z \\ \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 0 \\ 2 \\ \end{pmatrix}\) \(+\mu\) \(\begin{pmatrix} -5 \\ 0 \\ 10 \\ \end{pmatrix}\) com \(\mu \in R\) . Tomando o plano \(\alpha\) definido pelas retas \(r_1\) e \(r_2\) , \(\alpha\) intersecta o eixo z no valor de z igual a: