# Vectors - Lessons & Resources

Need help on vectors?
Here is 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 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
Vector Magnitude & Direction
The Resultant of Two Forces
Components of a Force
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. 