Find the volume of the pyramid (tetrahedron) with vertices at the points: A(-3,2,1), B(12,-1,0), C(3,1,0) and D(1,1,5). Also find the equation of the height DE and coordinates of the point E. A--E-C 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
3.
Find the volume of the pyramid (tetrahedron) with
vertices at the points: A(-3,2,1), B(12,-1,0),
C(3,1,0) and D(1,1,5).
Also find the equation of the height DE and
coordinates of the point E.
D
A
B
Transcribed Image Text:3. Find the volume of the pyramid (tetrahedron) with vertices at the points: A(-3,2,1), B(12,-1,0), C(3,1,0) and D(1,1,5). Also find the equation of the height DE and coordinates of the point E. D A B
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