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.
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|
|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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