7. You are doing some 3D interpolation using barycentric coordinates in a tetrahedron with vertices Pi (2,2,1), P2 (4,3, 1), Ps (1,3, 2), and Pa (1,3, 4). %3! %3D %3D a. A point Q has barycentric coordinates (0.3, 0.2, 0.1, 0.4). What are its Carte- sian coordinates? b. If function values at the vertices are f(P) = 3.13, f(P) = 2.94, S(P) = 3.17, and f(P.) = 3.4, what is the linearly interpolated value of f(Q)? %3D %3D

7. You are doing some 3D interpolation using barycentric coordinates in a tetrahedron with vertices Pi (2,2,1), P2 (4,3, 1), Ps (1,3, 2), and Pa (1,3, 4). %3! %3D %3D a. A point Q has barycentric coordinates (0.3, 0.2, 0.1, 0.4). What are its Carte- sian coordinates? b. If function values at the vertices are f(P) = 3.13, f(P) = 2.94, S(P) = 3.17, and f(P.) = 3.4, what is the linearly interpolated value of f(Q)? %3D %3D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 9E: Must two different points be collinear? Must three or more points be collinear? Can three or more...

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