Consider the points A(2, –3, 3), B(3, –5,0), C(-3, –4,0), and D(3, 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 = 210 (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 105 V454 Distance = %3D 227

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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Consider the points A(2, –3, 3), B(3, –5, 0), C(-3, –4, 0), and
D(3,3, –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 =
210
%3D
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
105 V454
Distance
227
Transcribed Image Text:Consider the points A(2, –3, 3), B(3, –5, 0), C(-3, –4, 0), and D(3,3, –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 = 210 %3D (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 105 V454 Distance 227
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