Solution Found!
?If is a constant vector, , and is an oriented, smooth surface with a simple, closed
Chapter 16, Problem 41(choose chapter or problem)
QUESTION:
If is a constant vector, , and is an oriented, smooth surface with a simple, closed, smooth, positively oriented boundary curve , show that
Questions & Answers
QUESTION:
If is a constant vector, , and is an oriented, smooth surface with a simple, closed, smooth, positively oriented boundary curve , show that
ANSWER:
Step 1 of 3
Suppose is a constant vector, and S is an oriented, smooth surface with a simple, closed, smooth, positively oriented boundary curve C.
To prove that
Let us consider
By Stoke’s theorem, we know that
We will prove that