- #1
erok81
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Homework Statement
Find the work done by force F from (0,0,0) to (1,1,1).
F=3yi+2xj+4zk
The path C_3 U C_4 consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment (1,1,0) to (1,1,1)
Homework Equations
None
The Attempt at a Solution
I am trying to find r(t) for both line segments.
For r(t)_1 I tried (1-0)i+(1-0)k+(0-0)j. I got that from x_2-x_1, etc. This worked out for the first r(t) netting me ti+tj
I then tried this for the second line segment and ended with tk only. The correct r(t) is i+j+tk
So clearly I am solving the r(t) part incorrectly. The book doesn't go over how to get the r(t) - that is where I need the help. I am thinking it might have something to do with the original (0,0,0) to (1,1,1) but I'm not sure.
How does one obtain both r(t)'s when only points are given?