OABD is a square and the line segment OA, OB, OC a re represented by the vectors a, b, c respectively. If D is the midpoint of BC, show that the line segment OD is represented by either c+½a or b-½a or½(b+c). Verify that each of these can be obtained from either of the others by using the relation b=a+c
OABD is a square and the line segment OA, OB, OC a re represented by the vectors a, b, c respectively. If D is the midpoint of BC, show that the line segment OD is represented by either c+½a or b-½a or½(b+c). Verify that each of these can be obtained from either of the others by using the relation b=a+c
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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OABD is a square and the line segment OA, OB, OC a re represented by the vectors a, b, c respectively. If D is the midpoint of BC, show that the line segment OD is represented by either c+½a or b-½a or½(b+c). Verify that each of these can be obtained from either of the others by using the relation b=a+c
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