Finding the work done by a force

[stevecallaway]

Homework Statement

Find the work done by the fore F(x,y,z)=xy i = yz j + zx k

Homework Equations

z=t^3, y=t^2 x=t
0<=t<=1

The Attempt at a Solution

I don't understand how to get started because I've got no r(t) so I have nothing to dot product the F(x(t),y(t),z(t)) once the substitution occurs. Does anyone know how to get to the r(t)?

 

[clamtrox]

r(t) = x i + y j + z k= t i + t^2 j + t^3 k.