2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b) respectively. ABCDEF form a triangular prism as shown below, where ABC and DEF are triangular cross sections of the prism. . Find the values of a and b, the y and z coordinates of D.
2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b) respectively. ABCDEF form a triangular prism as shown below, where ABC and DEF are triangular cross sections of the prism. . Find the values of a and b, the y and z coordinates of D.
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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![2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b) respectively.
ABCDEF form a triangular prism as shown below, where ABC and DEF are triangular cross
sections of the prism.
i. Find the values of a and b, the y and z coordinates of D.
ii. Find the volume of the prism](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d61411-e0a7-446a-b547-a01ef50bc4ee%2Fb8e0dcff-554c-4957-ae7a-6f7d4ca912bb%2Fe2nduwq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b) respectively.
ABCDEF form a triangular prism as shown below, where ABC and DEF are triangular cross
sections of the prism.
i. Find the values of a and b, the y and z coordinates of D.
ii. Find the volume of the prism
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