Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4,1, –8). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume =| 205 %3| (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 109 Distance V145

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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6: Please help me correct the following
Your answer is partially correct.
Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and
D(4, 1, –8).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AD as adjacent edges.
NOTE: Enter the exact answer.
Volume
205
(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
109
Distance
V145
Transcribed Image Text:Your answer is partially correct. Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the exact answer. Volume 205 (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. 109 Distance V145
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