Q3

A line has equation

$$\vec r(t)=\begin{pmatrix}2\\-1\\0\end{pmatrix}+\lambda\begin{pmatrix}-1\\2\\5\end{pmatrix},\qquad \lambda\in\mathbb{R}.$$

Which of the following is parallel to this line?

(A) $\displaystyle \vec r=\begin{pmatrix}2\\1\\0\end{pmatrix}+\lambda\begin{pmatrix}3\\2\\-15\end{pmatrix}$

(B) $\displaystyle \vec r=\begin{pmatrix}1\\0\\1\end{pmatrix}+\lambda\begin{pmatrix}3\\-6\\-15\end{pmatrix}$

(C) $\displaystyle \vec r=\begin{pmatrix}0\\-1\\2\end{pmatrix}+\lambda\begin{pmatrix}1\\-2\\1\end{pmatrix}$

(D) $\displaystyle \vec r=\begin{pmatrix}-1\\2\\5\end{pmatrix}+\lambda\begin{pmatrix}1\\2\\-5\end{pmatrix}$