Consider the points A(3, –3, 3), B(4, –5,0), C(-3,-4,0), and D(6, 2, –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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 24E
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Question 6 of 8
Consider the points A(3, –3, 3), B(4,–5,0), C(-3, –4,0), and
D(6, 2, -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:Question 6 of 8 Consider the points A(3, –3, 3), B(4,–5,0), C(-3, –4,0), and D(6, 2, -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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