Let A be the set of all lines in the plane. Consider the relation a ~b if and only if line a is perpendicular to line b. Is this relation reflexive? True False
Let A be the set of all lines in the plane. Consider the relation a ~b if and only if line a is perpendicular to line b. Is this relation reflexive? True False
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:### Reflexivity of Perpendicular Line Relations
Let \( A \) be the set of all lines in the plane. Consider the relation \( a \sim b \) if and only if line \( a \) is perpendicular to line \( b \).
**Question:** Is this relation reflexive?
- ⭘ True
- ⭘ False
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