Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjăcent 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(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjăcent 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
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
Related questions
Question
![Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and
D(2,3, –5).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AD as adjăcent 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%2F204cabfa-ccf2-46d7-be98-7e114969e56b%2F7574c967-4268-4444-ba0d-24ff88c10303%2F9e59uh_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and
D(2,3, –5).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AD as adjăcent 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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