Consider the points A(3,-3, 3), B(4, –5, 1), C(-2,-4, 1), 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 166 (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 166 Distance /269

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the points A(3,-3,3), B(4, –5, 1), C(-2, -4, 1), 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
166
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
166
Distance
/269
Transcribed Image Text:Consider the points A(3,-3,3), B(4, –5, 1), C(-2, -4, 1), 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 166 (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 166 Distance /269
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