Vectors

Need help on vectors?

Introductory lessons on vectors, operations on vectors, vector geometry, position vectors. More advanced lessons on vectors and parametric equations, components of vectors, dot product of vectors, 3-dimensional vectors.

We also have a a vector calculator that can help you to find the length of vectors, add vectors, subtract vectors, multiply vectors, calculate cross product and dot product of vectors. Use it to check your answers.



A vector quantity has both magnitude and direction.

Problems involving velocities, displacements and forces are often made easier when vectors are used.

Vector Introduction

The topics covered in these introductory lessons on vectors are:

What is a vector? Vector Magnitude
Equal Vectors Negative Vectors
Vector Addition Vector Subtraction
Multiply Vector by a Scalar 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  


Vector Calculator

The following is a vector calculator that will help you to find the length of vectors, add vectors, subtract vectors, multiply vectors, calculate cross product and dot product of vectors.




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