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GATE EC 2014 Set 3 — Question 63

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NAT+2 / -0EasyGradient, Divergence & CurlVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

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Question

Given the vector A=(cos⁡x)(sin⁡y)a^x+(sin⁡x)(cos⁡y)a^y\mathbf{A} = (\cos x)(\sin y)\hat{a}_x + (\sin x)(\cos y)\hat{a}_y, where a^x,a^y\hat{a}_x, \hat{a}_y denote unit vectors along x,yx,y directions, respectively. The magnitude of curl of A\mathbf{A} is ________
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