- #1
PsychonautQQ
- 784
- 10
Homework Statement
Calculate the work performed by the force field F = <y,x,z^3> from P = (1,1,1) to Q = (2,3,4).
Homework Equations
The Attempt at a Solution
So first I found that F must be a conservative field because ∇(xy + (z^4)/r) = <y,x,z^3>
Since it is a conservative field it is path independent... which means something that my teacher would be mad at me for not knowing (lol)
Can I parameterize the line integral in terms of t?
like
c(t) = <1+t,1+2t,1+3t>
c'(t) = <1,2,3>
∫F dot c'(t) dt = W? then what would be the bounds on my integral?