Given the line with parametric equations x = 1 - t, y = 1 + 2t, z = 5 + 3t and a point M(0, 3, 6) not on the line, solve the following to find the distance between point M and the line: 1.Find a vector that is parallel to the line 2.What is the norm of the vector in number 11 3.Find a point on the given line

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Given the line with parametric equations x = 1 - t, y = 1 + 2t, z = 5 + 3t and a point M(0, 3, 6) not on the line, 
solve the following to find the distance between point M and the line:
1.Find a vector that is parallel to the line
2.What is the norm of the vector in number 11
3.Find a point on the given line


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