This exercise is a multiple choice questionnaire. For each question, only one of the four proposed answers is correct. No justification is required. A wrong answer, multiple answers, or the absence of an answer earns neither points nor deducts points.

Throughout the exercise, we consider that space is equipped with an orthonormal reference frame $(\mathrm{O}; \vec{\imath}, \vec{\jmath}, \vec{k})$.\\
We consider:
\begin{itemize}
  \item the points $\mathrm{A}(-3; 1; 4)$ and $\mathrm{B}(1; 5; 2)$
  \item the plane $\mathscr{P}$ with Cartesian equation $4x + 4y - 2z + 3 = 0$
  \item the line $(d)$ with parametric representation $\left\{\begin{aligned} x &= -6 + 3t \\ y &= 1 \\ z &= 9 - 5t \end{aligned}\right.$, where $t \in \mathbb{R}$.
\end{itemize}

\begin{enumerate}
  \item The lines $(\mathrm{AB})$ and $(d)$ are:\\
a. secant and non-perpendicular.\\
b. perpendicular.\\
c. non-coplanar.\\
d. parallel.
  \item The line $(\mathrm{AB})$ is:\\
a. included in the plane $\mathscr{P}$.\\
b. strictly parallel to the plane $\mathscr{P}$.\\
c. secant and non-orthogonal to the plane $\mathscr{P}$.\\
d. orthogonal to the plane $\mathscr{P}$.
  \item We consider the plane $\mathscr{P}'$ with Cartesian equation $2x + y + 6z + 5 = 0$.\\
The planes $\mathscr{P}$ and $\mathscr{P}'$ are:\\
a. secant and non-perpendicular.\\
b. perpendicular.\\
c. identical.\\
d. strictly parallel.
  \item We consider the point $\mathrm{C}(0; 1; -1)$. The value of the angle $\widehat{\mathrm{BAC}}$ rounded to the nearest degree is:\\
a. $90^\circ$\\
b. $51^\circ$\\
c. $39^\circ$\\
d. $0^\circ$
\end{enumerate}