Superyoshiom
New member
- Joined
- Sep 10, 2017
- Messages
- 10
(a) Consider the line integralI =The integral of Fdr along the curve c.
i. Describe, using words and formulas, how you would go about evaluating the integral I.
ii. Suppose that the length of the path C is L. What is the value of I if the vector field F isnormal to C at every point of C?
iii. What is the value of I if the vector field F is is a unit vector pointing in the negativedirection along the curve at every point of C?
I have an understanding of how to figure out the first part of the problem, as I would multiply my vector field f by the derivative of a given r vector. However, I don't know how I would go about solving the second and third part since there are no defined vectors for C. Any help on this would be greatly appreciated.
i. Describe, using words and formulas, how you would go about evaluating the integral I.
ii. Suppose that the length of the path C is L. What is the value of I if the vector field F isnormal to C at every point of C?
iii. What is the value of I if the vector field F is is a unit vector pointing in the negativedirection along the curve at every point of C?
I have an understanding of how to figure out the first part of the problem, as I would multiply my vector field f by the derivative of a given r vector. However, I don't know how I would go about solving the second and third part since there are no defined vectors for C. Any help on this would be greatly appreciated.