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Vector calculus ---line integral
If vector F(r)= (x^2)y i + 2yz j + 9(z^2)x k , find ∫ vector F dot vector dr between (0,0,0) and (1,2,3)
If I want to find work done, then I just use F dot dr in this case , in F act in the direction of r, then I will get the answer in term of x y z, then substitute x=1, y=2, z=3 to get the work done.
But for this case, it didnt say it is work done, so still have to do ∫F dot dr , ∫Fdxi+∫Fdyj+∫Fdzk , then ∫Fdxi from x=0 to x=1 by keeping y and z constant, then what should I substitute to my y and z ?
Please help.
Thank you.
Homework Statement
If vector F(r)= (x^2)y i + 2yz j + 9(z^2)x k , find ∫ vector F dot vector dr between (0,0,0) and (1,2,3)
Homework Equations
The Attempt at a Solution
If I want to find work done, then I just use F dot dr in this case , in F act in the direction of r, then I will get the answer in term of x y z, then substitute x=1, y=2, z=3 to get the work done.
But for this case, it didnt say it is work done, so still have to do ∫F dot dr , ∫Fdxi+∫Fdyj+∫Fdzk , then ∫Fdxi from x=0 to x=1 by keeping y and z constant, then what should I substitute to my y and z ?
Please help.
Thank you.
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