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The Differential Calculus of Vectors
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angle angular momentum arc length assume Ax Ay axis body calculus called center of mass closed curve components consider constant vector coordinate system Coriolis force curl defined definition derivative determine differential direction divergence theorem dot product dr/dv dx dy dz earth Evaluate Example exercise Find the vector fixed fluid Frenet-Serret formulas ft/sec functionally related gradient Green's theorem intersection irrotational law of motion line integral magnitude Newton's Note operator orthogonal parabolic cylindrical coordinates parallel parameter parametric equations particle moves path perpendicular plane position vector Prove radius rectangular region respect result rotation scalar function Section sides of Eq sin2 solenoidal speed spherical coordinates Stokes's theorem surface triple scalar product unit tangent vector unit vector variable vector equation vector field vector function vector product velocity and acceleration write x-axis z-axis zero vector