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1. Consider the points Answer what is asked below. a = (1, 1,-1), b= (1,-1,1), c= (-1,1,1), d=(-a,1-a,2-a). - Determine the volume of the tetrahedron generated by points a, b, c, d. -For what values of o the volume of the tetrahedron cancels out? What meaning geometric has this situation? - For what values of Alpha is the volume of the tetrahedron equal to 1?

1. Consider the points Answer what is asked below. a = (1, 1,-1), b= (1,-1,1), c= (-1,1,1), d=(-a,1-a,2-a). - Determine the volume of the tetrahedron generated by points a, b, c, d. -For what values of o the volume of the tetrahedron cancels out? What meaning geometric has this situation? - For what values of Alpha is the volume of the tetrahedron equal to 1?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the points Answer what is asked below. AU = (1,1,-1), b= (1,-1,1), c= (-1,1,1), d=(-a,1-a,2-a). - Determine the volume of the tetrahedron generated by points a, b, c, d. -For what values of o the volume of the tetrahedron cancels out? What meaning geometric has this situation? - For what values of Alpha is the volume of the tetrahedron equal to 1?
Transcribed Image Text:1. Consider the points Answer what is asked below. AU = (1,1,-1), b= (1,-1,1), c= (-1,1,1), d=(-a,1-a,2-a). - Determine the volume of the tetrahedron generated by points a, b, c, d. -For what values of o the volume of the tetrahedron cancels out? What meaning geometric has this situation? - For what values of Alpha is the volume of the tetrahedron equal to 1?
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