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Vectors - Lessons & Resources

Need help on vectors?

We have a collection of introductory lessons on vectors, equality of vectors, basic operations on vectors, vector geometry, position vectors, etc., as well as more advanced lessons on vectors and parametric equations, components of vectors, dot product of vectors, 3-dimensional vectors and more.



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!

Vector Introduction

A vector quantity has both magnitude and direction.

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

The topics covered in these introductory lessons on vectors are:

What is a Vector? Vector Magnitude
Equal Vectors Negative Vectors
Vector Addition Vector Subtraction
Multiplication 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 Adding Vectors Graphically or Head-to-Tail Method
Adding Vectors using Components I Adding Vectors using Components II
Vector Addition & Scalar Multiplication Vector Magnitude & 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 & Motion Parameterize a Line Segment & a Circle
Parametric Equations Dot Product of Vectors
Angle between Two Vectors Vectors in Three Dimensions
Lines in 3D Coordinate Systems Vectors & 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.


Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


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