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Vectors

 

 

A vector quantity has both magnitude and direction. Problems involving velocities, displacements and forces are often made easier when vectors are used.

 

 

The topics covered in these lessons on vectors are:

What is a vector? (includes video)

Vector Magnitude (includes video)

Equal Vectors

Negative Vectors

Vector Addition (includes video)

Vector Subtraction (includes video)

Multiply Vector by a Scalar (includes video)

Parallel Vectors

Vector Geometry

Position Vector

 

 

Vectors and Parametric Equations Videos

Geometric Representation of Vectors
Algebraic Representation of Vectors

Components of a Vector I
Components of a Vector II

Adding Vectors Graphically or Head-to-Tail Method

Adding Vectors using Components I
Adding Vectors using Components II

Vector Addition and Scalar Multiplication

Vector Magnitude and Direction

The Resultant of Two Forces
Components of a Force

Solve Navigation Problems using Vectors

Unit Vectors I
Unit Vectors II

Vector Equation of a Line

Parametric Equations and Motion
Parameterize a Line Segment and a Circle
Parametric Equations

Dot Product of Vectors
Angle between Two Vectors

Vectors in Three Dimensions
Lines in 3D Coordinate Systems

Vectors and Planes

 

 

 

 

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