6. A parallelepiped is drawn with four of its vertices as shown below. a) Find the volume of the parallelepiped. b) Find the coordinates of point E. c) Find the acute angle of intersection between the D(2,3,6) face diagonal AE and BC. (nearest degree) A(1,-3,2) C(0,7,0) E B(5,-1,-2)

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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6. A parallelepiped is drawn with four of its vertices as shown below.
a) Find the volume of the parallelepiped.
b) Find the coordinates of point E.
c) Find the acute angle of intersection between the
D(2,3,6)
face diagonal AE and BC. (nearest degree)
A(1,-3,2)
C(0,7,0)
E
B(5,-1,-2)
Transcribed Image Text:6. A parallelepiped is drawn with four of its vertices as shown below. a) Find the volume of the parallelepiped. b) Find the coordinates of point E. c) Find the acute angle of intersection between the D(2,3,6) face diagonal AE and BC. (nearest degree) A(1,-3,2) C(0,7,0) E B(5,-1,-2)
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