work done by vector field along helix and straight line
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#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).
https://brainmass.com/math/integrals/work-vector-field-helix-straight-line-195778
Solution Summary
The solution shows detailed calculation of the work done by force field along the line segment and helix by line integral (see attachment).
$2.49