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 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 out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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