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EMBED Equation.3 =0 Divergence of  EMBED Equation.3 = EMBED Equation.3  EMBED Equation.3  =  EMBED Equation.3  where  EMBED Equation.3  Curl of  EMBED Equation.3 =  EMBED Equation.3 x  EMBED Equation.3  = EMBED Equation.3  where  EMBED Equation.3  If  EMBED Equation.3  EMBED Equation.3 =0 then  EMBED Equation.3  is said to be Solenoidal Vector If  EMBED Equation.3 x  EMBED Equation.3 = EMBED Equation.3  then  EMBED Equation.3  is said to be Irrotational Vector If  EMBED Equation.3 x  EMBED Equation.3 = EMBED Equation.3  then there exists a scalar point function (Scalar Potential) s.t  EMBED Equation.3 =  EMBED Equation.3  Laplacian operator  EMBED Equation.3  Greens Theorem If P, Q,  EMBED Equation.3 are continuous and single valued functions of x, y in a closed region R enclosed by a curve C, then  EMBED Equation.3  Stokes Theorem The surface integral of the normal component of the curl of a vector function  EMBED Equation.3  over an open surface S is equal to the line integral of the tangential component of  EMBED Equation.3  around the closed curve C bounding S. (i.e.)  EMBED Equation.3  Gauss Divergence Theorem The surface integral of the normal component of a vector function  EMBED Equation.3  over a closed surface S enclosing a volume V is equal to the volume integral of the divergence of  EMBED Equation.3  taken throughout the volume V. 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