using the following: Line 1: x = 2 + t, y = 1 + t, z = 4 + 7t Line 2: x = -4 + 5s, y = 2 - 2s, z = 1 - 4s a) determine whether the following lines interesect and their point of intersection b) find the angles between the lines

using the following: Line 1: x = 2 + t, y = 1 + t, z = 4 + 7t Line 2: x = -4 + 5s, y = 2 - 2s, z = 1 - 4s a) determine whether the following lines interesect and their point of intersection b) find the angles between the lines

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 37E: Line l is parallel to plane P that is, it will not intersect P even if extended. Line m intersects...

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Question

using the following: Line 1: x = 2 + t, y = 1 + t, z = 4 + 7t

Line 2: x = -4 + 5s, y = 2 - 2s, z = 1 - 4s

a) determine whether the following lines interesect and their point of intersection

b) find the angles between the lines

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