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 = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance =

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(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 =
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
Distance =
Find the area of the triangle with vertices P(1,4, –3), Q(0, 0,0) and
R(3,5, 1).
NOTE: Enter the exact answer.
A =
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 = (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance = Find the area of the triangle with vertices P(1,4, –3), Q(0, 0,0) and R(3,5, 1). NOTE: Enter the exact answer. A =
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