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work done by vector field along the line segment

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Please see attached problem set #3

3. Find the work done by the force field F(x,y,z) = zi + xzj + (xy +z)k along a straight line segment from (1, 0, -2) to (4, 6, 2).

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Solution Summary

The solution shows how to calculate the work done by force field along the line segment by line integral.

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Work Done by Vector Field Along Helix and Straight Line

#4 in attached problem set (see attachment).

4. Find the work done by the force field F(x, y, z) = -zi + yj + xk in moving a particle from the point (3, 0, 0) to the point (0, pi/2, 3) along:
(a) a straight line
(b) the helix x = 3cos(t), y = t, z = 3sin(t).

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