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...

Consider the vector field v=−(y/r2)î+(x/r2)j; where r=√(x2+y2) The contour integral ∮v⋅ds, where ds is tangent to the contour that enclose...

The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to equi-potential lines of the potential function φ(r)=1/(r2+4), where...