Let ä(t) = (-5, -3, 2)t + (3, −1, 5) and 5(u) = (5, −1, −3)u + (5,8, −8). Find the acute angle between the lines (in radians) Find the (perpendicular) distance from the line given by the parametric equations (x(t) = -5+7t y(t) = 4-8t \z(t) = 2+t to the point (-6, —2, 6).

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
Question

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Let ä(t) = (-5, -3, 2)t + (3, −1, 5) and 5(u) = (5, −1, −3)u + (5,8, −8).
Find the acute angle between the lines (in radians)
Transcribed Image Text:Let ä(t) = (-5, -3, 2)t + (3, −1, 5) and 5(u) = (5, −1, −3)u + (5,8, −8). Find the acute angle between the lines (in radians)
Find the (perpendicular) distance from the line given by the parametric equations
(x(t)
=
-5+7t
y(t) = 4-8t
\z(t)
= 2+t
to the point (-6, —2, 6).
Transcribed Image Text:Find the (perpendicular) distance from the line given by the parametric equations (x(t) = -5+7t y(t) = 4-8t \z(t) = 2+t to the point (-6, —2, 6).
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