Determine whether the planes are parallel,orthogonal,or neither. $\begin{array} { l }
x - 9 y - z = 5 \
4 x - 36 y - 4 z = - 2
\end{array}$
A)Neither
B)Orthogonal
C)Parallel

Question

Determine whether the planes are parallel,orthogonal,or neither.  $\begin{array} { l } 
x - 9 y - z = 5 \
4 x - 36 y - 4 z = - 2
\end{array}$ 
A)Neither
B)Orthogonal
C)Parallel

Quizplus · Accepted Answer

The planes are parallel because their normal vectors are scalar multiples of each other. The normal vector of the first plane is (1, -9, -1), and for the second plane, it is (4, -36, -4), which is 4 times the first normal vector.

Determine Whether the Planes Are Parallel,orthogonal,or Neither x−9y−z=54x−36y−4z=−2\begin{array} { l } x - 9 y - z = 5 \\4 x - 36 y - 4 z = - 2\end{array}x−9y−z=54x−36y−4z=−2​

Determine Whether the Planes Are Parallel,orthogonal,or Neither $\begin{array} { l } x - 9 y - z = 5 \\4 x - 36 y - 4 z = - 2\end{array}$