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1. How can two pencils (representing lines) be held so that a plane can be passed containing both; so that no plane can be passed containing both?

1. How can two pencils (representing lines) be held so that a plane can be passed containing both; so that no plane can be passed containing both?

Advanced Engineering Mathematics
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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1. How can two pencils (representing lines) be held so that a plane can be passed containing both; so that no plane can be passed containing both? 2. What is meant by the statement, "Two planes determine a line "? Is this universally true? 3. Can a plane intersect two planes that are not parallel so that the inter- sections are parallel? Illustrate your answer by passing a plane through the edges of an open book. How must this plane be passed so that the inter- sections are parallel lines?
Transcribed Image Text:1. How can two pencils (representing lines) be held so that a plane can be passed containing both; so that no plane can be passed containing both? 2. What is meant by the statement, "Two planes determine a line "? Is this universally true? 3. Can a plane intersect two planes that are not parallel so that the inter- sections are parallel? Illustrate your answer by passing a plane through the edges of an open book. How must this plane be passed so that the inter- sections are parallel lines?
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