Consider the points A(3, – 1, 3), B(4, –3,0), C(-2, –2,0), and D(6, 3, –5). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume = 0 (b) Find the distance from D to the plane containing A, B, and C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Consider the points A(3, –1, 3), B(4, –3,0), C(-2, –2,0), and
D(6,3, –5).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AĎ as adjacent edges.
NOTE: Enter the exact answer.
Volume = 0
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
Distance = 7.93144
%3D
Transcribed Image Text:Consider the points A(3, –1, 3), B(4, –3,0), C(-2, –2,0), and D(6,3, –5). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AĎ as adjacent edges. NOTE: Enter the exact answer. Volume = 0 (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance = 7.93144 %3D
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