This tutorial discusses the difference between scalars and vectors, equality of vectors and drawing geometric vectors.

This tutorial shows how to add and subtract geometric vectors. This is the first part of a two part tutorial.

This tutorial shows how to add and subtract geometric vectors. This is the second part of a two part tutorial.

This tutorial works through some examples of using vectors to model physical quantities including forces and velocities.

This tutorial shows how to multiply a vector by a scalar including some algebraic properties of scalar multiplication. The tutorial also discusses briefly the concept of a linear combination of vectors and shows an example of drawing a geometric sum/difference of 3 vectors.

This tutorial shows how to work with vectors in Cartesian or component form. Examples include finding the components of a vector between 2 points, magnitude of a vector and Standard Basis Form.

This tutorial introduces the concept of the dot product of 2 vectors and shows the definition plus the algebraic method for calculating dot product. Several properties of the dot product are illustrated. This is the first part of a two part tutorial.

This part of the Dot Product tutorial focuses on proving statements algebraically using the Dot Product - mostly using the Cartesian formula. This is the second part of a two part tutorial.

This tutorial discusses the concept of a cross product of 2 vectors in 3-Space and shows how to calculate the cross product with vectors in component form. Some properties of the cross product are also discussed along with an example involving the magnitude of the cross product.

This tutorial shows 3 examples of applications using the dot product and/or the cross product (torque, vector projection in 3-Space and volume of a parallelepiped).

This tutorial demonstrates how to resolve a vector into its horizontal and vertical components. The tutorial shows how to use components to write a vector in component form and includes an example that uses components to solve an application problem.

This tutorial shows how to do the following in three space:

- graph in three dimensional space

- find the components of a vector between 2 specific points

- find the magnitude of a vector

- add, subtract and perform scalar multiplication on vectors

- determine if two vectors are parallel (or collinear)

- find an orthogonal (normal) vector to a specific vector