Course MA2C02, Hilary Term 2010 Section 4: Vectors and Quaternions
نویسنده
چکیده
4 Vectors and Quaternions 47 4.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4.2 Displacement Vectors . . . . . . . . . . . . . . . . . . . . . . . 47 4.3 The Parallelogram Law of Vector Addition . . . . . . . . . . . 49 4.4 The Length of Vectors . . . . . . . . . . . . . . . . . . . . . . 50 4.5 Scalar Multiples of Vectors . . . . . . . . . . . . . . . . . . . . 51 4.6 Linear Combinations of Vectors . . . . . . . . . . . . . . . . . 52 4.7 Linear Dependence and Independence . . . . . . . . . . . . . . 52 4.8 The Scalar Product . . . . . . . . . . . . . . . . . . . . . . . . 54 4.9 The Vector Product . . . . . . . . . . . . . . . . . . . . . . . . 58 4.10 Scalar Triple Products . . . . . . . . . . . . . . . . . . . . . . 61 4.11 The Vector Triple Product Identity . . . . . . . . . . . . . . . 62 4.12 Orthonormal Triads of Unit Vectors . . . . . . . . . . . . . . . 63 4.13 Quaternions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4.14 Quaternions and Vectors . . . . . . . . . . . . . . . . . . . . . 66 4.15 Quaternions and Rotations . . . . . . . . . . . . . . . . . . . . 68
منابع مشابه
Course MA2C02, Hilary Term 2013 Section 8: Vectors and Quaternions
8 Vectors and Quaternions 40 8.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 8.2 Displacement Vectors . . . . . . . . . . . . . . . . . . . . . . . 40 8.3 The Parallelogram Law of Vector Addition . . . . . . . . . . . 41 8.4 The Length of Vectors . . . . . . . . . . . . . . . . . . . . . . 42 8.5 Scalar Multiples of Vectors . . . . . . . . . . . . . . . . . . . . 43...
متن کاملCourse MA2C02, Hilary Term 2012 Section 9: Vectors and Quaternions
9 Vectors and Quaternions 51 9.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 9.2 Displacement Vectors . . . . . . . . . . . . . . . . . . . . . . . 51 9.3 The Parallelogram Law of Vector Addition . . . . . . . . . . . 52 9.4 The Length of Vectors . . . . . . . . . . . . . . . . . . . . . . 53 9.5 Scalar Multiples of Vectors . . . . . . . . . . . . . . . . . . . . 54...
متن کاملCourse Ma2c03, Hilary Term 2014 Section 8: Vectors and Quaternions
8 Vectors and Quaternions 145 8.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 8.2 Displacement Vectors . . . . . . . . . . . . . . . . . . . . . . . 145 8.3 The Parallelogram Law of Vector Addition . . . . . . . . . . . 146 8.4 The Length of Vectors . . . . . . . . . . . . . . . . . . . . . . 147 8.5 Scalar Multiples of Vectors . . . . . . . . . . . . . . . . . . ....
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متن کاملCourse MA2C02, Hilary Term 2011 Section 7: Trigonometric Identities, Complex Exponentials and Periodic Sequences
7 Trigonometric Identities, Complex Exponentials and Periodic Sequences 26 7.1 Basic Trigonometric Identities . . . . . . . . . . . . . . . . . . 26 7.2 Basic Trigonometric Integrals . . . . . . . . . . . . . . . . . . 28 7.3 Basic Properties of Complex Numbers . . . . . . . . . . . . . 29 7.4 Complex Numbers and Trigonometrical Identities . . . . . . . 31 7.5 The Exponential of a Complex Numbe...
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