Problem Set 19 (non-textbook part) Exercise 1
- Question:
- Find the integral
of x dx ∧ dy +
y dy ∧ dz
on the triangle in (x, y, z)-space
with vertices (0, 0, 1),
(0, 1, 0), and (1, 0, 0),
oriented clockwise when viewed from the origin
(in a right-handed coordinate system).
- Answer:
- 1/3 (detailed solution).
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