Course Ma2c03, Hilary Term 2014 Section 8: Vectors and Quaternions
نویسنده
چکیده
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 . . . . . . . . . . . . . . . . . . . . 148 8.6 Linear Combinations of Vectors . . . . . . . . . . . . . . . . . 149 8.7 Linear Dependence and Independence . . . . . . . . . . . . . . 149 8.8 The Scalar Product . . . . . . . . . . . . . . . . . . . . . . . . 151 8.9 The Vector Product . . . . . . . . . . . . . . . . . . . . . . . . 154 8.10 Scalar Triple Products . . . . . . . . . . . . . . . . . . . . . . 157 8.11 The Vector Triple Product Identity . . . . . . . . . . . . . . . 158 8.12 Orthonormal Triads of Unit Vectors . . . . . . . . . . . . . . . 159 8.13 Quaternions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 8.14 Quaternions and Vectors . . . . . . . . . . . . . . . . . . . . . 162 8.15 Quaternions and Rotations . . . . . . . . . . . . . . . . . . . . 164
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 MA2C02, Hilary Term 2010 Section 4: Vectors and Quaternions
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...
متن کاملCourse Ma2c03, Hilary Term 2014 Section 7: Periodic Series and Functions
7 Periodic Series and Functions 128 7.1 Basic Trigonometric Identities . . . . . . . . . . . . . . . . . . 128 7.2 Basic Trigonometric Integrals . . . . . . . . . . . . . . . . . . 130 7.3 Basic Properties of Complex Numbers . . . . . . . . . . . . . 131 7.4 Complex Numbers and Trigonometrical Identities . . . . . . . 133 7.5 The Exponential of a Complex Number . . . . . . . . . . . . . 133 7.6...
متن کاملCourse Ma2c03, Hilary Term 2014 Section 9: Introduction to Number Theory and Cryptography
9 Introduction to Number Theory 168 9.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 168 9.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 168 9.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 169 9.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 172 9.5 The Fundamental Theorem of Arithmetic . . . . . . . . . . . . ...
متن کامل