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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 24E
Related questions
Question
Q7
![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 :](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb519f8e-bc29-4005-9d82-9372d032a596%2Fdf1afeb5-ee8a-4e93-b2fe-d30db608ec1a%2F40ar1lo_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 :
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