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    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).

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    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).