AB and EF are said to be skew lines because they neitherinterseet nor are parallel. How many plancs are determined bya) parallel lines AB and DC?b) intersecting lines AB and BC?c) skew lines AB and EF?d) lines AB, BC, and DC?e) points A, B, and F?f) points A, C, and H?g) points A, C, F, and H?GFAB.D

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Answered: AB and EF are said to be skew 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.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Answer the following indicating your answer in the blank provided. You may have to draw in lines referred to in the question. K H CG and KF are skew lines A. True B. False Sand Fo are parallel lines. A. True B. False 3. DC and GC are intersecting lines. A. True B. False 4. The intersection of plane EAB and plane CGF is point B. A. True B. False .5. AD and BC are perpendicular to the plane BEF. A. True B. False 6. The intersection of planes DHG, EAD, and EFG is point H. A. True B. False 7. AD and BD are coplanar lines. A. True B False ABE and BCG are parallel planes.
Which lines are perpendicular? A. A and B B. A and C C. B and C D. A and D
3) Find the distances: a. Between ?1 = 〈3 + ?, −2 + 3?, −?〉 and ?2 = 〈1 + 2?,?, 5 + 4?〉. b. Between the planes −2? + 5? − 3? = 2 and −2? + 5? − 3? = 12. c. From the point (2, 2, 2) to the line ? = 〈3?, −3 + ?, 5 − 4?〉.
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Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines below, taken two at a time, are parallel, intersect, or are skew. If they intersect, find the point of intersection. Otherwise, find the distance between the two lines.

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