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The locus represented by \( x y+y z=0 \) is
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Verified Answer
The correct answer is:
A pair of perpendicular planes
Given the locus
\[
\begin{array}{l}
x y+y z=0 \\
\Rightarrow y(x+z)=0 \\
\Rightarrow \vec{y} \cdot(\vec{x}+\vec{z})=0
\end{array}
\]
Therefore, it represents a pair of perpendicular planes.
\[
\begin{array}{l}
x y+y z=0 \\
\Rightarrow y(x+z)=0 \\
\Rightarrow \vec{y} \cdot(\vec{x}+\vec{z})=0
\end{array}
\]
Therefore, it represents a pair of perpendicular planes.
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