Consider the points A(2, –3, 3), B(3, –5,0), C(-3, -4,0), and D(3,3, –6). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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Consider the points A(2, –3, 3), B(3, –5, 0), C(-3, –4,0), and
D(3, 3, –6).
|
(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 exact answer.
Distance =
Transcribed Image Text:Consider the points A(2, –3, 3), B(3, –5, 0), C(-3, –4,0), and D(3, 3, –6). | (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 exact answer. Distance =
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