Let A be the set of all straight lines in the Cartesian plane. Define a relation
Chapter 8, Problem 32(choose chapter or problem)
Let A be the set of all straight lines in the Cartesian plane. Define a relation \(\|\) on A as follows:
For all \(l_{1} \text { and } l_{2}\) in A, \(l_{1} \| l_{2} \Leftrightarrow l_{1} \text { is parallel to } l_{2}\).
Then \(\|\), is an equivalence relation on A. Describe the equivalence classes of this relation.
Text Transcription:
\|
l_1 and l_2
l_1 \| l_2 Leftrightarrow l_1 is parallel to l_2
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