Answered: a) Prove that the lines with parametric…

a) Prove that the lines with parametric equations: x = 1+ t, y = 1 + 6t, z = 2t and x = 1+ 2s, y = 5 + 15s, z = -2 + 6s are skew. (b) Find the distance between the two lines.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Question

a) Prove that the lines with parametric equations:
x = 1+ t, y = 1 + 6t, z = 2t
and
x = 1 + 2s, y = 5 + 15s, z = -2 + 6s
are skew.
(b) Find the distance between the two lines.

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