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Review Concepts for Math 550
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1
Review of Vectors
1.1
Algebraic View
1.1.1
Basic Vector Operations in
R
2
1.1.2
Basic Vector Operations in
R
3
1.1.3
Properties of vector addition and scalar multiplication
1.2
Geometric View
1.2.1
Geometric representation of a vector
1.2.2
Vector Addition
1.2.3
Vector Subtraction
1.2.4
Magnitude of a Vector
1.2.5
Orientation of a Vector
1.3
The Dot Product
1.3.1
Basic Concepts
1.3.2
Magnitude of a Vector
1.3.2.1
Properties of the norm
1.3.2.2
Unit vectors
1.3.3
Angle between two vectors
1.4
The Cross Product
1.4.1
Properties of the Cross Product
1.5
Vector Inequalities
1.6
Vector Projections
2
Curvilinear Coordinates
2.1
Introduction
2.2
Polar Coordinates
2.3
Cylindrical Coordinates
2.4
Spherical Coordinates
3
Vector Equations
3.1
Equation of a line
3.2
Equation of a Plane
3.2.1
Vector Equation of a Plane
🔗
Chapter
3
Vector Equations
3.1
Equation of a line
3.2
Equation of a Plane
