This text covers the basic mathematics underlying the use of vectors and goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. Material treated includes electromagnetic waves, alternating current and rotating fields.
This text covers the basic mathematics underlying the use of vectors and goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. Material treated includes electromagnetic waves, alternating current and rotating fields.
Preface 1 Vector algebra I: Scaling and adding vectors INTRODUCTION TO SCALARS NUMBERS AND VECTORS Scalars and numbers Introducing vectors Displacements and arrows Vector notation; SCALING VECTORS AND UNIT VECTORS Scaling a vector or multiplication of a vector by a number Unit Vectors; VECTOR ADDITION-THE TRIANGLE ADDITION RULE LINEAR COMBINATIONS OF VECTORS CARTESIAN VECTORS Cartesian coordinates of a point-a review Cartesian unit vectors and cartesian components of a vector MAGNITUDES AND DIRECTIONS OF CARTESIAN VECTORS SCALING AND ADDING CARTESIAN VECTORS VECTORS IN SCIENCE AND ENGINEERING Definition of a vector and evidence for vector behavior Vector problems in science and engineering Vector algebra II: Scalar products and vector products THE SCALAR PRODUCT Definition of the scalar product and projections The scalar product in vector algebra CARTESIAN FORM OF THE SCALAR PRODUCT THE ANGLE BETWEEN TWO VECTORS THE VECTOR PRODUCT Definition of the vector product The vector product in vector algebra CARTESIAN FORM OF THE VECTOR PRODUCT TRIPLE PRODUCTS OF VECTORS The scalar triple product The vector triple product.
Preface 1 Vector algebra I: Scaling and adding vectors INTRODUCTION TO SCALARS NUMBERS AND VECTORS Scalars and numbers Introducing vectors Displacements and arrows Vector notation; SCALING VECTORS AND UNIT VECTORS Scaling a vector or multiplication of a vector by a number Unit Vectors; VECTOR ADDITION-THE TRIANGLE ADDITION RULE LINEAR COMBINATIONS OF VECTORS CARTESIAN VECTORS Cartesian coordinates of a point-a review Cartesian unit vectors and cartesian components of a vector MAGNITUDES AND DIRECTIONS OF CARTESIAN VECTORS SCALING AND ADDING CARTESIAN VECTORS VECTORS IN SCIENCE AND ENGINEERING Definition of a vector and evidence for vector behavior Vector problems in science and engineering Vector algebra II: Scalar products and vector products THE SCALAR PRODUCT Definition of the scalar product and projections The scalar product in vector algebra CARTESIAN FORM OF THE SCALAR PRODUCT THE ANGLE BETWEEN TWO VECTORS THE VECTOR PRODUCT Definition of the vector product The vector product in vector algebra CARTESIAN FORM OF THE VECTOR PRODUCT TRIPLE PRODUCTS OF VECTORS The scalar triple product The vector triple product.
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