## Vector and Tensor Analysis |

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### Contents

Elementary Operations Page 1 Definitions | 1 |

Addition of vectors | 2 |

Multiplication of a vector by a scalar | 4 |

Copyright | |

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### Common terms and phrases

acceleration angle angular velocity applied calculus cartesian tensor center of mass Clothbound constant vector continuous first derivatives contravariant tensor contravariant vector coordinate axes coordinate system covariant vector curve curvilinear coordinates defined denote differential equations directional derivative equal Euler's equations evaluate the line example expressions external forces fixed point follows formulas function geometry Green's theorem gyroscope Hence i2 and i3 inertia introduce Let us consider line integral line of action linear magnitude mathematical mixed tensor motion normal vector obtain the relation operator origin orthogonal Paperbound parallel parametric lines Partial contents particle of mass perpendicular position-vector Problem Proof of Equation prove radius rectangular cartesian coordinates right side rotation scalar field scalar triple products second order set of quantities shown in Figure sphere suffixes surface integral symbols tangent tensor character theory tion transformation unit vector vector field write x3 axis yields