Question: (a) Is the point (11, 14, 17, 18)^T on the line

\[\left( \begin{matrix} 1 \\ 2 \\ 3 \\ 4 \\ \end{matrix} \right)+t\left( \begin{matrix} 5 \\ 6 \\ 7 \\ 8 \\ \end{matrix} \right)\]?

(b) Does the point(4, 3, 2)^T lie in the plane

\[\left( \begin{matrix} 1 \\ 2 \\ 3 \\ \end{matrix} \right)+t\left( \begin{matrix} 1 \\ 1 \\ 0 \\ \end{matrix} \right)+s\left( \begin{matrix} 0 \\ 1 \\ 1 \\ \end{matrix} \right)\]?