5. Find the rate at which a fluid flowing with constant velocity u(3,0,-1) crosses each of the following triangles:(а) [(-2, 1, 0), (5, 3, -1), (8, -5, 2)],(b) [(8, -5, 2), (5, 3,-1), (-2, 1,0)),(c) [(1,-1,0), (2, 0, 2), (3, –2, –3)),(d) [(0,0,0), (0, 1,0), (1,0,0)],(e) [(1,0,0), (0, 1,0), (0,0, 1)],(f) [(0,0,0), (0,0, 1), (0, 1, 0)),(g) [(0,0,0), (1,0, 0), (0,0, 1)].

given data: V = 3i +0j -k according to the rules, we can only answer up to 3 parts so solving 3…

(a) [(-2, 1,0), (5, 3, -1), (8, –5, 2)), (b) [(8,-5, 2), (5, 3, –1), (–2, 1,0)), (c) [(1,-1,0), (2, 0, 2), (3, –2, –3)), (а) [(0,0, 0), (0, 1,0), (1,0,0), (e) [(1,0,0), (0, 1,0), (0,0, 1)), (f) (0,0,0), (0,0, 1), (0, 1,0)], (g) [(0,0,0), (1,0, 0), (0,0, 1)].

(a) [(-2, 1,0), (5, 3, -1), (8, –5, 2)), (b) [(8,-5, 2), (5, 3, –1), (–2, 1,0)), (c) [(1,-1,0), (2, 0, 2), (3, –2, –3)), (а) [(0,0, 0), (0, 1,0), (1,0,0), (e) [(1,0,0), (0, 1,0), (0,0, 1)), (f) (0,0,0), (0,0, 1), (0, 1,0)], (g) [(0,0,0), (1,0, 0), (0,0, 1)].

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

5. Find the rate at which a fluid flowing with constant velocity u
(3,0,-1) crosses each of the following triangles:
(а) [(-2, 1, 0), (5, 3, -1), (8, -5, 2)],
(b) [(8, -5, 2), (5, 3,-1), (-2, 1,0)),
(c) [(1,-1,0), (2, 0, 2), (3, –2, –3)),
(d) [(0,0,0), (0, 1,0), (1,0,0)],
(e) [(1,0,0), (0, 1,0), (0,0, 1)],
(f) [(0,0,0), (0,0, 1), (0, 1, 0)),
(g) [(0,0,0), (1,0, 0), (0,0, 1)].

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