If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k – j, show the line segments AB and CD are parallel and find the ratio of their lengths.
If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k – j, show the line segments AB and CD are parallel and find the ratio of their lengths.
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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![1. If the position vectors of the points A, B, C, D are
a = i+j+k, b=2i+3j, c = 3i+ 5j – 2k, d = k – j,
show the line segments AB and CD are parallel and find the ratio of their lengths.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58b5413e-d462-4370-9367-31d08c59a06f%2F74ac1cab-3f5d-4b67-8ec6-13487e922250%2F5rlj01_processed.png&w=3840&q=75)
Transcribed Image Text:1. If the position vectors of the points A, B, C, D are
a = i+j+k, b=2i+3j, c = 3i+ 5j – 2k, d = k – j,
show the line segments AB and CD are parallel and find the ratio of their lengths.
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