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VECTOR CALCULUS: USEFUL STUFF Revision of Basic Vectors A scalar is a physical quantity with magnitude only A vector is a physical quantity with magnitude and direction In all of the below formulae we are considering the vector F= (F 1,F 2,F 3) Basic Vector Differentiation[PDF]
Vector Calculus Formulas - Calvin College
Vector Calculus Formulas Fundamental theorems (main result) Here, F(x;y;z) = P(x;y;z)i+ Q(x;y;z)j+ R(x;y;z)k. FT of Line Integrals: IfZF = rf, and the curve C has endpoints A and B, then C Fdr = f(B) f(A). Green’s Theorem: " D @Q @x @P @y! dA =, C Fdr (circulation-curl form) Stokes’ Theorem: " S
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