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Consider the lines x = -1+ 2s 3 - z l1: and l2 : y = s -2 4 z = 5+ s I. Find two unit vectors that are parallel to l1. II. Determine the acute angle between l1 and lz. (Express your answer in terms of an inverse trigonometric expression). III. Find the coordinates of the point of intersection P of l1 and l2. IV. Find the symmetric equations of the line through P that is perpendicular to both ly and l2. V. Find the point-normal equation of the plane containing both lị and l2.

Consider the lines x = -1+ 2s 3 - z l1: and l2 : y = s -2 4 z = 5+ s I. Find two unit vectors that are parallel to l1. II. Determine the acute angle between l1 and lz. (Express your answer in terms of an inverse trigonometric expression). III. Find the coordinates of the point of intersection P of l1 and l2. IV. Find the symmetric equations of the line through P that is perpendicular to both ly and l2. V. Find the point-normal equation of the plane containing both lị and l2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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Answer part iii to v only

Consider the lines T = -1+2s 3 - z l1 : 2 l2 : y = s and 4 z = 5+ s I. Find two unit vectors that are parallel to l1. II. Determine the acute angle between l1 and l2. (Express your answer in terms of an inverse trigonometric expression). III. Find the coordinates of the point of intersection P of l1 and l2. IV. Find the symmetric equations of the line through P that is perpendicular to both l1 and l2. V. Find the point-normal equation of the plane containing both l1 and l2.
Transcribed Image Text:Consider the lines T = -1+2s 3 - z l1 : 2 l2 : y = s and 4 z = 5+ s I. Find two unit vectors that are parallel to l1. II. Determine the acute angle between l1 and l2. (Express your answer in terms of an inverse trigonometric expression). III. Find the coordinates of the point of intersection P of l1 and l2. IV. Find the symmetric equations of the line through P that is perpendicular to both l1 and l2. V. Find the point-normal equation of the plane containing both l1 and l2.
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