II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem: What are the equations of anam if line m has equation Y = -2X + 3 and line n has equation Y = -2X + 8? (Hint: solve first that the perpendicular to m at (0,3) intersects n at (2,4))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem:
What are the equations of onom if line m has equation Y = -2X +3 and line n has
equation Y = -2X + 8?
(Hint: solve first that the perpendicular to m at (0,3) intersects n at (2,4))
Transcribed Image Text:II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem: What are the equations of onom if line m has equation Y = -2X +3 and line n has equation Y = -2X + 8? (Hint: solve first that the perpendicular to m at (0,3) intersects n at (2,4))
6. The Products of Two Reflections
6.1 Translations and Rotations
Theorem 6.1.1 If lines I and m are parallel, then om is the translation through
twice the directed distance from I to m.
Theorem 6.1.2 If line b is perpendicular to line I at L and to line m at M, then
Omol = TM = OMOL.
Transcribed Image Text:6. The Products of Two Reflections 6.1 Translations and Rotations Theorem 6.1.1 If lines I and m are parallel, then om is the translation through twice the directed distance from I to m. Theorem 6.1.2 If line b is perpendicular to line I at L and to line m at M, then Omol = TM = OMOL.
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