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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 16EQ

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