Let F be a constant unit force that is parallel to the vector (-1, 0, 1) in xyz-space. What is the work done by F on a particle that moves along the path given by (t, t^2, t^3) between time t=0 and time t=1?
(A)-1/4 (B)-1/(4sqrt(2)) (C)0 (D)sqrt(2)
C