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2. Let F = (sin(22)e² - y²)i + (x² - cos z)j + (x²e³²)k. Consider the tetrahedron, oriented with outward normals, whose vertices are A = (0,0,1), B = (0, 1, 1), C = (1, 0, 1), and D= (0,0,0). Let S be the surface made of the three faces of the tetrahedron that remain when triangle ABC is removed. Compute the flux of Vx F through S.

2. Let F = (sin(22)e² - y²)i + (x² - cos z)j + (x²e³²)k. Consider the tetrahedron, oriented with outward normals, whose vertices are A = (0,0,1), B = (0, 1, 1), C = (1, 0, 1), and D= (0,0,0). Let S be the surface made of the three faces of the tetrahedron that remain when triangle ABC is removed. Compute the flux of Vx F through S.

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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2. Let F = (sin(2²)e² - y²)i + (r² − cos z)j + (x²e³²)k. Consider the tetrahedron, oriented with outward normals, whose vertices are A = (0, 0, 1), B = (0, 1, 1), C = (1, 0, 1), and D = (0,0,0). Let S be the surface made of the three faces of the tetrahedron that remain when triangle ABC is removed. Compute the flux of V x F through S.
Transcribed Image Text:2. Let F = (sin(2²)e² - y²)i + (r² − cos z)j + (x²e³²)k. Consider the tetrahedron, oriented with outward normals, whose vertices are A = (0, 0, 1), B = (0, 1, 1), C = (1, 0, 1), and D = (0,0,0). Let S be the surface made of the three faces of the tetrahedron that remain when triangle ABC is removed. Compute the flux of V x F through S.
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