## Vector Analysis |

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### Contents

Vectors 1 Vectors | 1 |

Addition of vectors | 2 |

Subtraction of vectors | 4 |

Copyright | |

68 other sections not shown

### Common terms and phrases

a.bxc a.dS a.grad Accordingly angle ax(bxc axes basis vectors c x d calculate CHAPTER closed surface Consider the vector constant vector corresponding curl curl curl grad curvilinear coordinate cylindrical deduce defined definition denote differentiation directional derivative divergence double integral e2 and e3 equation Exercises form a right-handed Frenet formulae fundamental system Gauss's theorem given grad div gradient Green's theorems Hence initial point irrotational law of addition line integral mutually orthogonal obtain opposite directions orthogonal orthogonal curvilinear coordinate parallelogram parameter parametric curves partial derivatives perpendicular plane positive projected vector region V enclosed represent the vectors respect result right-handed system scalar field scalar function scalar product scalar triple product scalar variable Section Show Stokes's theorem straight line sub-regions surface integral tangent vector tends to zero unit vector vector field vector function vector product vector triple product volume integral yields