Unformatted text preview: 6. F = (x - z)i + (y - z)j - (x + y)k x 2 + y2 = - (x + y)z . 2 is a given polygonal path from (0,0,0) to (1,1,1) (but any other piecewise smooth path from the first point to the second would do as well). F dr = x 2 + y2 - (x + y)z 2 (1,1,1) = 1 - 2 = -1.
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- Spring '12
- Continuous function, piecewise smooth path, polygonal path