Question: Solve the following problems

(a) Is the point \(\left( \begin{matrix}

11 \\

14 \\

17 \\

18 \\

\end{matrix} \right)\) 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 \(\left( \begin{matrix}

4 \\

3 \\

2 \\

\end{matrix} \right)\) 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)\) ?