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the vector field L(x, y, z) = -; -2²j+ yzk. 1. Does there exist a vector field M such that V x M =L? 2.Is L a gradient vector field? justify your answer.

the vector field L(x, y, z) = -; -2²j+ yzk. 1. Does there exist a vector field M such that V x M =L? 2.Is L a gradient vector field? justify your answer.

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the vector field L(x, y, z) = -; = -2²j+ yzk. 1. Does there exist a vector field M such that V x M =L? 2.Is L a gradient vector field? justify your answer. 3. Let N = {(x,y, z)|x2 + y? + z2 = 1, x > 0} be the right half of the unit sphere. Use Stoke's Theorem to evaluate the surface integral (V x F) · dS.
Transcribed Image Text:the vector field L(x, y, z) = -; = -2²j+ yzk. 1. Does there exist a vector field M such that V x M =L? 2.Is L a gradient vector field? justify your answer. 3. Let N = {(x,y, z)|x2 + y? + z2 = 1, x > 0} be the right half of the unit sphere. Use Stoke's Theorem to evaluate the surface integral (V x F) · dS.
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