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Curl of gradient of a vector is(a) Unity(b) Zero(c) Null vector(d) Depends on the constants of the vectorThe question was asked in a national level competition.My doubt is from Gradient topic in chapter Vector Calculus of Electromagnetic Theory

Answer»

The CORRECT ANSWER is (c) Null vector

To explain I would say: Gradient of any function leads to a vector. Similarly curl of that vector gives ANOTHER vector, which is always zero for all constants of the vector. A zero value in vector is always TERMED as null vector(not SIMPLY a zero).



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