Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (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 =
Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (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 25E
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Question
![Consider the points A(3, -3, 2), B(6, –5, 0), C(−1, –4, 0), and
D(6,3,-4).
(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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1deffaa-3186-47f9-8c39-aacee3835fe8%2F11c4e4f6-fce2-469f-aa1a-4ff79db10d18%2F3utb27i_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the points A(3, -3, 2), B(6, –5, 0), C(−1, –4, 0), and
D(6,3,-4).
(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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