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 fromD to the plane containing A, B, and C. NOTE: Enter the exact answer.

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(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.
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.
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