Find the value of Stoke’s theorem for y i + z j + x k.

A)
i + j
B)
j + k
C)
–i – j – k
D)
i + j + k

Correct Answer : Option (C) :   –i – j – k

Explanation :  The curl of y i + z j + x k is i(0-1) – j(1-0) + k(0-1) =
-i –j –k. Since the curl is zero, the value of Stoke’s theorem is zero. The function is said to be irrotational.

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