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Algebra of Vectors
Vectors in the Rectangular
Applications to Geometry
12 other sections not shown
Applied Vector Analysis arc length base vectors Bernoulli's equation closed surface component const constant vector coordinate system curvilinear coordinates cylindrical coordinates defined definition differential direction divergence theorem divergence theorem 7.2 dot product dt dt dx dy dz electric field electromagnetic field equation of continuity Euler's equation evaluate expressed field f flux force f formula given gradient Hence i j k irrotational irrotational flow kinetic energy line integral magnitude Maxwell's equations obtain orthogonal orthonormal basis parametric particle perpendicular plane position vector rectangular coordinate region R bounded represented result of Problem scalar function scalar potential scalar product scalar triple product Show shown in Figure Solution space curve spherical coordinates steady flow Stokes transformation unit normal vector unit tangent vector unit vector vector equation vector field vector function vector identity vector product Verify vortex tube zero