Consider the points A(1,-1, 4), B(2, –3, 2), C'(-1, –2, 2), and D(4, 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 %3D (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance inny asus COLLECTION
Consider the points A(1,-1, 4), B(2, –3, 2), C'(-1, –2, 2), and D(4, 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 %3D (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance inny asus COLLECTION
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
![Consider the points A(1,-1, 4), B(2, –3, 2), C(-1, –2, 2), and
D(4, 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
nny
asus COLLECTION
153
f8/
112](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ea98915-a7cd-4217-b52a-de9fa3420942%2Fbd75b06b-210a-42e7-bc94-182d09ea70c3%2F0aaqxsu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the points A(1,-1, 4), B(2, –3, 2), C(-1, –2, 2), and
D(4, 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
nny
asus COLLECTION
153
f8/
112
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