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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

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and 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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