Question: Consider the plane $Pi$ defined by equation $-2 x+4 y+z=0$. Which of the following statements are true? Vector $left|begin{array}{c}4 -8 11-2end{array} ight]$ is parallel

Consider the plane $\Pi$ defined by equation $-2 x+4 y+z=0$. Which of the following statements are true? Vector $\left|\begin{array}{c}4 \\ -8 11-2\end{array} ight]$ is parallel to the plane $\Pi$. The line $\left\begin{array}{1}x zend{array} ight)=\left\begin{array}{c)-1 1-4 - 1 \end{array} ight]+t\left [\begin{array}{c}-6 \\ 12 13 end{array} ight]$ is perpendicular to the plane $\is. Plane $\Pis is spanned by vectors $\left [\begin{array}{1}1 Wo \end{array} ight]$ and $\left\begin{array}{c} \\ -4\end{array} ight]$. Plane $-6 x+12 y+6 z--2$ is parallel to the plane $\Pi$. Plane $\Pi$ is spanned by vectors $\left(\begin{array}{1}1 110 2\end{array} ight]$ and $\left\begin{array}{c} \-2\endarray} ight]$. Consider the plane $\Pi$ defined by equation $4 x+3 y+z=0$. Which of the following statements are true? Vector $\left\begin{array}r)-8 1-6 1 -2\end{array} ight]$ is parallel to the plane $\Pi$. $\checkmarks Plane $\Pis is spanned by vectors $\left[\begin{array}{c}1 V-4\end{array} ight]$ and $\left\begin{array}{c} \\ -3\end{array} ight]$. The line $left [\begin{array}{1}x Nyl z\end{array} ight)=\left(\begin{array}{c}-2 1-2 3\end{array} ight it\left[\begin{array}{c}12 19 3\end{array} ight]$ is perpendicular to the plane $\Pis. Plane $\Pi$ is spanned by vectors $\left(\begin{array}{c}1 110 1-4\end{array} ight]$ and $\left\begin{array}cil -7\end{array} ight]$. Plane $12 x+9 y+6 z=-2$ is parallel to the plane $\Pi$. SP.SD 472
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