Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer. Distance =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 21E
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Consider the points A(3, –3, 3), B(4, –5, 1), C'(-2, –4, 1), and
D(6,3, –5).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AD as adjacent edges.
NOTE: Enter the ezact answer.
Volume =
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the ezract answer.
Distance =
Transcribed Image Text:Consider the points A(3, –3, 3), B(4, –5, 1), C'(-2, –4, 1), and D(6,3, –5). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the ezact answer. Volume = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezract answer. Distance =
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