Aerospace Engineering > GATE 2022 > Vector Calculus
v⃗ = x3î + y3ĵ + z3k̂ is a vector field where î, ĵ, and k̂ are the base vectors of a cartesian coordinate system. Using the Gauss divergence theorem, the value of the outward flux of the vector field over the surface of a sphere of unit radius centered at the origin is _______. (rounded off to one decimal place)

Correct : 7.4 to 7.7

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Gauss divergence theorem vector field flux outward flux calculation Aerospace Engineering GATE 2022 GATE AE 2022 Q48 vector calculus flux over sphere divergence theorem application

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