Vectors
Introduction to Vectors
4 Topics
Introduction to Vectors
Vector Addition
Scalar Multiplication of Vectors
Properties of Vectors
2D and 3D Vectors
3 Topics
Vectors in 2D and 3D
Algebraic Representation of Vectors
Linear Combinations and Spanning Sets
Applications of Vectors
2 Topics
Vector Representation of Forces
Velocity
Dot and Scalar Product
5 Topics
Geometric Representation of the Dot Product
Algebriac Representation of the Dot Product
Vector and Scalar Projections
Cross Product
Applications of Dot and Cross Product
Equation of a Line
3 Topics
Vector and Parametric Equation of a Line in 2D
Cartesian Equation of Line
Vector, Parametric and Symmetric Equations of Line in 3D
Equation of a Plane
3 Topics
Vector and Parametric Equation of a Plane
Cartesian Equation of Plane
Planes in \(\mathbb{R}^3\)
Lines and Planes
4 Topics
Intersection of a Line and Plane; Intersection of two Lines
System of Equations
Intersection of Two Planes
Intersection of Three Planes
Distance between Points, Lines and Planes
2 Topics
Distance from Point to Line in \( \mathbb{R}^2 \)
Distance between Point and Plane in \(\mathbb{R}^3 \)
Matrices
1 Topic
Introduction to Matrices
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Dot and Scalar Product
Vectors
Dot and Scalar Product
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Geometric Representation of the Dot Product
Algebriac Representation of the Dot Product
Vector and Scalar Projections
Cross Product
Applications of Dot and Cross Product
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