Application x = 1-2t 27. In 3-space, find the distance between the skew lines y=1+t and [x, y, z] = [4, 7, 1] + 1 [1, 4, 2]. [4 Marks] z = 4t (x = 7-t 28. Determine the intersection point of the line y = 2+t and the plane π: x + 2y + 3z - 15 = 0 z=4-3t 4 Marks]

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 35E
Question

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Application
x = 1-2t
27. In 3-space, find the distance between the skew lines y=1+t and [x, y, z] = [4, 7, 1] + 1 [1, 4, 2].
[4 Marks]
z = 4t
(x = 7-t
28. Determine the intersection point of the line y = 2+t and the plane π: x + 2y + 3z - 15 = 0
z=4-3t
4 Marks]
Transcribed Image Text:Application x = 1-2t 27. In 3-space, find the distance between the skew lines y=1+t and [x, y, z] = [4, 7, 1] + 1 [1, 4, 2]. [4 Marks] z = 4t (x = 7-t 28. Determine the intersection point of the line y = 2+t and the plane π: x + 2y + 3z - 15 = 0 z=4-3t 4 Marks]
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