Aerospace Engineering > GATE 2013 > Vector Calculus
Let I=∫∫S(y2zî+z2xĵ+x2yk̂)·(xî+yĵ+zk̂)dS where S denotes the surface of the sphere of unit radius centered at the origin. Here î,ĵ and k̂ denote three orthogonal unit vectors. The value of I is

Correct : 0 to 0

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surface integral vector calculus Aerospace Engineering GATE 2013 GATE AE 2013 Q26 sphere surface integral divergence theorem Gauss's theorem vector field integral

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