Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AĎ 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 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and
D(4, 2, –6).
(a) Find the volume of the parallelepiped that has the vectors
AB, AC, and AD as adjacent edges.
NOTE: Enter the cxact answer.
Volume =
|(b) Find the distance from D to the plane containing A, B, and C.
NOTE: Enter the exact answer.
Distance
Transcribed Image Text:Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of the parallelepiped that has the vectors AB, AC, and AD as adjacent edges. NOTE: Enter the cxact answer. Volume = |(b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the exact answer. Distance
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